u (x comma y )space equals space 5 (x plus y )u (x comma y )space equals space 5 y u (x comma y )space equals space 5 x u (x comma y )space equals space 5 x squared plus 5 y squared

Answers

Answer 1

To solve this system of differential equations using the series method, we can assume that the solution can be expressed as a power series in both x and y:

[tex]u(x,y) = a0 + a1x + a2y + a3xy + a4x^2 + a5y^2 + ...[/tex]

Substituting this expression into each of the differential equations and collecting the coefficients of each term gives us the following system of equations:

a0 + 5a0 = 0

a1 + 5a2 = 0

a2 + 5a1 = 0

a4 + 5a4 = 0

a5 + 5*a5 = 0

Solving this system of equations gives us the following values for the coefficients:

a0 = 0

a1 = 0

a2 = 0

a3 = 0

a4 = 0

a5 = 0

Therefore, the power series expansion of the solution is:

u(x,y) = 0

This means that the only solution to the differential equations is the trivial solution u(x,y) = 0.

Note that this method of solving differential equations using power series is only applicable if the differential equations are linear and homogeneous, which means that the coefficients of the terms in the differential equations do not depend on x and y, and the right-hand sides of the equations are all equal to 0. If the differential equations are nonlinear or inhomogeneous, other methods may be required to find their solutions.

To learn more about differential equations, visit:

brainly.com/question/14620493

#SPJ4


Related Questions


Modeling multiplication and division fraction pls help

Answers

The area of each section is 3/4 square feet. To solve the give question use division operation.

What is mixed fraction?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder.

Given that the area of the garden is [tex]5\frac{1}{4}[/tex] square feet.

Now convert the mixed fraction with improper fraction:

[tex]5\frac{1}{4}[/tex] = [(5×4) + 1]/4

[tex]5\frac{1}{4}[/tex] = 21/4

We have to divide the area 7 equal area.

Thus divide 21/4 by 7.

21/4 ÷ 7

To convert the division sign into multiplication sign, take the reciprocal of 7:

21/4 × 1/7

= (21 × 1)/(4 × 7)

Divide the denominator and numerator by 7:

= 3/4

To learn more about division operation, click on below link:

https://brainly.com/question/14670748

#SPJ1

The restaurant has 25 boxes of ketchup.
Each box has 250 packets of ketchup.
How many packets of ketchup does the restaurant have?

Answers

Answer: 6,250

Step-by-step explanation: As the equation states there are 25 boxes with 250 packs of ketchup take the 25 boxes and multiply the 250 packets

250x25=6,250

Find the inverse of the equation
Y=5/x-1

Answers

The inverse of the equation is y = (5/x) + 1

How to determine the inverse of the equation?

From the question, we have the following parameters that can be used in our computation:

y = 5/(x - 1)

Start by swaping the positions of x an dy

So, we have the following representation

x = 5/(y - 1)

So, we have

x(y - 1) = 5

Divide both sides by x

y - 1 = 5/x

Add 1 to both sides

y = (5/x) + 1

Hence, the inverse is y = (5/x) + 1

Read more about inverse equation at

https://brainly.com/question/3831584

#SPJ1

Using traditional methods, it takes 100 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 260 students and observed that they had a mean of 99 hours. Assume the standard deviation is known to be 6. A level of significance of 0.01 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places.

Answers

The value of the Test statistic =z=-1.67

We have the value of sigma = 6, n = 260

In a hypothesis test, a test statistic—a random variable—is computed from sample data. To decide whether to reject the null hypothesis, you can utilize test statistics. Your results are compared to what would be anticipated under the null hypothesis by the test statistic. The p-value is computed using the test statistic.

Now using the formula of Test static

Test statistic will be:  [tex]\mathrm{z}=\frac{\overline{\mathrm{x}}-\mu}{\frac{\sigma}{\sqrt{\mathrm{n}}}}\\[/tex]

Where, n = total number of sample = 100

[tex]\bar x[/tex] = mean of the given data

[tex]\mu[/tex] = total number of hours taken to receive a basic driving licence.

So, putting the value given in the question,

We will get the value of test static as:

[tex]=\frac{99-100}{\frac{6}{\sqrt{260}}}=-1.67[/tex]

For more questions on Test static

https://brainly.com/question/15110538

#SPJ4

Find x
NOTE: Angles not necessarily drawn to scale.

Answers

Answer:

148 degrees

Step-by-step explanation:

b/c a line is 180 degrees and the angle given is 32 so 180- 32= 148

and the line is bisected at point p so it is 148 because of alternate interior angles.

What is the answer for identifying the slope and Y intercept for this graph ?

Answers

Slope is -2 and intercept is 3.
The y intercept is where the equation meets the y axis

100 POINTS
Find the focus. x^2 = 6y (please explain, I want to understand the solution)

Answers

The coordinate of the parabola's focus in the following equation, x2=6y, is (0,3/2)

What are Directrix and Focus?

What are a parabola's focus and directrix? Typically speaking, parabolas are the graphs of quadratic functions. They can alternatively be thought of as the collection of all points whose separation from the focus is the same as their separation from a certain line (the directrix).

What are the focus's coordinates?

The focus's coordinates f(0,a)

The equation that we have given is

x^2 = 6y

We are aware that the parabola's general equation is,

x^2 = 4ay

The axis of symmetry is a line that splits the parabola in half and runs through the focus.

We must ascertain the worth of

6y = 4ay

6 = 4a

a = 6/4 = 3/2

The focus' coordinate (0,3/2) is as a result.

To learn more about the focus visit:

brainly.com/question/4148030

#SPJ1

I’m confused on this question

Answers

Answer: 3 of the squares should go down then 8 to the right.

Step-by-step explanation:


it just wants you to say how it was translated so take the corresponding points like p and p’ then count of many tiles it move to the right and then down to get from p to p’ you’ll see that it’s 8 right and 3 down.


hope this helps!

find the value of x in this problem

Answers

Answer: x=22

Step-by-step explanation:

Based on the given figure, we can tell that 2x and 44 are vertical angles. Vertical angles are congruent to each other, so we can set them equal to each other.

2x=44           [divide both sides by 2]

x=22

Therefore, x=22.

please help its holding back my grade 50 points

Answers

Answer:

X=54

Step-by-step explanation:

equate both the equations since angles of opposite sides are equal

2x+2=3x-52

3x-2x= 52+2

x=54

answer:

x=54

Step-by-step explanation:

2x+2=3x-52

move the 2x to 3x because x can't be negative

and add 52 to 2 so x=54

10, 12, 11, 13, 14, 12, 13, 14, 13, and 12 find the mean.

Answers

The mean of the given data is 12.4

What is mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values.

Given that, a data, 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12

Arranging the data in ascending order, 10, 11, 12, 12, 12, 13, 13, 13 14, 14

The sum is = 10+12+11+13+14+12+13+14+13+12 = 124

Total number of data = 10

Mean = sum of the numbers/ total numbers of data

Mean = 124/10

Mean = 12.4

Hence, the required mean is 12.4

For more references on mean, click;

https://brainly.com/question/6813742

#SPJ1

Sketch the curve with the given vector equation by finding the following points. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) r(t) = (t, 9 – t, 2t) r(-9) (x, y, z) r(0) (x, y, z) r(9) (x, y, z)

Answers

For sketching the graph we need to know the coordinate of the vector which are r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩

Given:-

x = t − 2,

y = t² + 1 ⇒ t = x + 2

⇒ y = (x + 2)2 + 1

⇒ y = x² + 4x + 5

For find r′(t) we have to ,

r′(t) = ⟨1, 2t⟩

To sketch the position vector r(t) and the tangent vector r′(t) for t = 1.

r(1) = ⟨−1, 2⟩, r′(1) = ⟨1, 2⟩

See the above figure. The red vector is r(1) and the blue one is r′(1)

To learn more about the vectors

https://brainly.com/question/15052855

#SPJ4

What are the coefficients in the following expression x^2+2x-5xy-y+3y^4

Answers

Answer:

1,2,-5,-1,3

Step-by-step explanation:

the coefficients are the numbers before the variables (x and y)

if there is nothing infront of the variable then the coefficient is 1

if there is only a negative sign infront of the variable then the coefficient is -1

You are making snack bags to sell at the fair. You want each bag to contain the same combination of carrot and celery sticks. You have 75 carrot sticks and 40 celery sticks and want to use them all.

What is the greatest number of snack bags you can make

Answers

The greatest number of snack bags is 10.

Highest Common Factor:

The largest of all the common factors between two or more numbers is known as the Highest Common Factor (HCF). It is also known as the Greatest Common Element (GCF).

HCF is a fundamental method that allows you to equally distribute items throughout a group or set.

We can use the idea of HCF to determine the same when you are organizing a party and want to make sure that nothing is wasted or you require a proper calculation.

Here we have

Number of carrots = 75

Number of celery sticks = 40

Here we are making snack bags such that each bag contains the same combination of carrot and celery sticks.

To find the greatest number of snack bags we need to find HCF of 70 and 40 as given below

Write given numbers as the product of prime numbers

=> 70 = 2 × 5 × 7

=> 40 = 2 × 2 × 2 × 5  

List out the common factors

=> 2 × 5  

=> HCF (70, 40) = 10

Therefore,

The greatest number of snack bags is 10.

Learn more about Highest Common Factor at

https://brainly.com/question/802960

#SPJ1

An online streaming service charges a monthly fee as well as a one-time sign-up fee. The cost for this online streaming service is modeled by the following function where m represents the number of months the service is subscribed to and C(m) represents the total cost given that amount of time:

C(m) = 13m + 9

In the above function, what is the slope?

What is the y-intercept?

How do we interpret the slope of this function?

How do we interpret the y-intercept of this function?

Answers

The slope of the given line is 13 and the y - intercept of the line is 9.

What is equation of line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

Consider, the given equation of line,

C(m) = 13m + 9

We have to find the slope and y - intercept of the given equation.

From the given equation the slope of the equation is 13 and the y - intercept is 9.

Consider, the general equation of line

y = mx + c

where,

m is the slope of line and

c is the y - intercept of the line.

Compare the given equation C(m) = 13m + 9 with, y = mx + c

⇒  m = 13 and c = 9

Hence, the slope of the given line is 13 and the y - intercept of the line is 9.

To know more about equation of line, click on the link

https://brainly.com/question/29407929

#SPJ1

8.

supplementary angles. If
m

m

Answers

Answer:

Do u like m&m because I do

Factor x^3-125 as shown in the image attached

Answers

Answer:

Factored form is (x - 5) (x² + 5x + 25)

Step-by-step explanation:

You can get the factors directly by using the formula for a³ - b³.

Jessica’s is making $300 less than four times what she was making when she started working. Let s represent her starting salary. Write an expression showing how much Jessica is making now in terms of her starting salary, s. Show work.

Answers

Answer:

4s-$300

Step-by-step explanation:

Two pieces of information given describe Jessica's salary in relation to her starting salary.  This information is that she makes nearly four times her starting salary (multiplication) and the exact amount she is short of exactly four times is $300 (subtraction).  As with the order of mathematical operations, start with multiplication, then put the subtraction into the expression.

s

4s

4s-$300

This final expression shows how much she is making now in terms of her starting. salary

in a homicide case different witnesses picked the same man from a line up. the line up contained 5 men. if the identifications were made by random guesses, find the probability that all witnesses would pick the same person. round to seven decimal places.

Answers

Rounding to seven decimal places, the probability that one individual would be selected by all witnesses is 0.0000128.

Six different witnesses chose the same individual from a lineup in a homicide case. There were 5 guys in the lineup. The likelihood that each of the six witnesses would choose the same person if the identifications were done based just on guesswork.

P = 1 ÷ 5 is the likelihood that a witness will choose a certain individual at random.

The likelihood that all seven witnesses would select the same subject is P = [tex](\frac{1}{5})^{7}[/tex]= 0.0000128.

Simply put, the probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes to determine how likely they are if we are unclear about how an event will turn out.

Learn more about probability at

https://brainly.com/question/14210034?referrer=searchResults

#SPJ4

What is the equation, in stanard form, of a parabola that models the values in the table x-3 0 2 f(x) -8 -2 -28

Answers

The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.

Given that,

The values of the x are -3,0,2 and the f(x) are -8,-2,-28

We have to find the equation of the parabola with the x and f(x) values.

We know that,

The equation of the parabola of the form f(x) = ax²+bx+c

So,

-3a-3b+c=-8 ----->equation(1)

c=-2

2a+2b+c=-28 ------>equation(2)

Substituting c=-2 in equation(1) and equation(2)

-3a-3b-1+8=0

-3a-3b+7=0 ------>equation(3)

2a+2b-2+28=0

2a+2b+26=0 ------>equation(4)

Subtracting 2×equation(3) and 3×equation(4)

                               b=5

Substituting in equation(1)

a=7

Therefore, The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.

To learn more about equation visit: https://brainly.com/question/21511618

#SPJ1

PLEASE HELP IM GOING TO FAIL


4. What is the graph of the system? (1 point)
y≤x +4
2x+y≤-4

Answers

Answer:

A

Step-by-step explanation:

The answer is option A

Hope this helps :)

Given the drawing as shown below and that p parallel q, which of the following cannot be supported?​

Answers

Answer: It's B

Step-by-step explanation:

It shows that Angle B is congruent to angle g but it actually isnt

Answer:

B.  ∠b ≅ ∠g

Step-by-step explanation:

Supplementary angles

Two angles whose measures sum to 180°.

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

Same-side Interior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

------------------------------------------------------------------------------------------

Statement A

∠f and ∠h are vertical angles.  Therefore, according to the Vertical Angle Theorem, ∠f ≅ ∠h.

Statement C

As ∠d and ∠h are the interior angles on the same side of the transversal [tex]\ell[/tex], according to the Same-side Interior Angles Theorem, ∠d and ∠h are supplementary.

Statement D

∠a and ∠b are a linear pair, therefore ∠a and ∠b are supplementary.

Therefore, Statement B cannot be supported by the evidence shown.

Amy is going to spend What she saves from her rent budget on entertainment. How much will she’s have for entertainment each month?

Answers

Since Amy's rent is 60 percent of the budget for Rent, Utilities, and Food, she will have $853 to spend on entertainment each month.

How is the rent budget determined?

The total budget for rent, utilities, and food for nine months is given as $12,798.

Using the mathematical operation of multiplication, the proportion that belongs to rent alone is $7,678.80, representing 60%.

This rental proportion is divided by 9 to determine the monthly budget for rent, which will then be spent on entertainment.

The total budget for rent, utilities, and food for nine months = $12,798

The percentage of the budget for rent = 60%

The amount for rent for nine months = $7,678.80 ($12,798 x 60%)

The monthly rent amount is $853.20 ($7,678.80/9)

Thus, we can conclude that Amy will spend $853 monthly on entertainment if she saves the rent budget.

Learn more about monthly budgeting at https://brainly.com/question/14341566

#SPJ1

Question Completion:

The percentage of the rent to the total rent, utilities, and food budget is 60%.

I need help with my math homework

Answers

The multiplications, applying the associative property, are given as follows:

1. (5 x 2) x 3 = 10 x 3 = 30.

2. 4 x (3 x 3) = 4 x 9 = 36.

3. (6 x 1) x 4 = 6 x 4 = 24.

4. 5 x (2 x 4) = 5 x 8 = 40.

5. (2 x 2) x 8 = 4 x 8 = 32.

6. 3 x (2 x 2) = 3 x 4 = 12.

7. (4 x 2) x 4 = 8 x 4 = 32.

8. 6 x (3 x 3) = 6 x 9 = 54.

What is the associative property of multiplication?

The associative property of multiplication defines that the order in which the factors are multuiplied does not change the product.

In this problem, we have to consider that the parenthesis gives the precedence of the factors, meaning that the terms inside the parenthesis are multiplied first, and their result should be placed on the blanks below the parenthesis.

More can be learned about the associative property of multiplication at https://brainly.com/question/17176614

#SPJ1

Franco said 9.37×0.1=93.7 is he correct

Answers

Answer:

No, Franco's calculation is incorrect.

Step-by-step explanation:

No, Franco's calculation is incorrect. The correct answer is 9.37 x 0.1 = 0.937.

When multiplying a decimal number by a decimal number, the decimal point in the product should be placed so that the number of decimal places in the product is equal to the sum of the number of decimal places in the factors. In this case, the number 9.37 has two decimal places, and the number 0.1 has one decimal place. Therefore, the product of 9.37 x 0.1 should have a total of 2 + 1 = 3 decimal places.

To obtain the correct answer, we need to multiply 9.37 x 0.1 using standard long multiplication:

Copy code

9.37

x 0.1

0.937

Therefore, the correct answer is 0.937, not 93.7 as Franco stated.

Answer:

No. This is incorrect.

Step-by-step explanation:

9.37 × 1 = 9.37

Times by 1 the number stays the same.

If you multiply by 0.1 the decimal will move one place and the 9.37 should get smaller! The sentence in the problem shows 93.7 which is bigger.

9.37 × 10 = 93.7

9.37 × 0.1 = 0.937

convert the following equation into standard form.
Y= -2x+6

Answers

Answer:

x = 3+y

Step-by-step explanation:

is your ans .................

The table and grab below shows the distance travel between two different objects which statement is correct about the speed of the two objects

Answers

The statement which is correct about the speed of the two objects is both travel at steadily increasing speed.

What is meant by direct relation?

A direct relation exists when the two variables rise or fall together. In a straight link, as X rises, Y rises as well. A straight relationship will always have a positive slope on a graph.

What is speed?

Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The graph shows the direct relation that means with increasing time and distance speed will increase. Moreover, the table also shows direct and increasing relation about the speed of two objects so the statement both travel at steadily increasing speed is correct.

To learn more about speed visit the link:

https://brainly.com/question/13943409

#SPJ1

8 ft 10 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate . A = [?]ft? Notice that only half of the circle is included in the figure!​

Answers

find the area of the rectangle;

w x l = 8 x 10 = 80ft^2

circle;

pi(r)^2

r = 4

pi(4)^2

pi(16) = 50.24

80 + 50.24 = 130.24

How could you organize the weighting and grades information differently so that Oscar's and Reagan's final grades are given by WG?

Answers

Answer i just need points

Step-by-step explanation: maybe 90

Solve for X : x + (7 x5) = 25

Answers

x + (7 x 5) = 25. first u distribute
so u get 7x +5x = 25. combine like terms. 12x.=25 divide 25/12= 2.08
X = -10


X+(7x5)=25
X+35=25

25-35 = -10

So X is -10
Other Questions
- A basketball strikes the rim of the basket. Explain each force in the force pair. Anti-Federalists chose to ratify the Constitution largely because of the promise of a bill of individual rights. However, they still feared that a federal system would become too powerful. Did the federal government grow too powerful under the Washington and Adams administrations? If so, what are some specific examples where this happened? Or did the Federalists manage to avoid the kinds of abuses the Anti-Federalists feared? What are some examples? a constriction in a pipe reduces its diameter from 4.0 cm to 2.0 cm. where the pipe is narrow the water speed is 8.0 m/s. where it is wide the water speed is: The side of a cube has a length of 4xy6 cm. The volume of the cube can be found usingthe formula V = S. What is the volume of the cube in cubic centimeters?PLEASE HELP for a severe supercell ts to form over the great plains, one would expect the 5,000 agl wind to be group of answer choices 360/10 kt 200/15 240/90 190/45 FILL IN THE BLANK. one of the true risks of high national debt is an equity issue in that upper-income individuals may benefit more through expanded investment opportunities at the cost of___lower-income individuals. which of the pairs of compounds below is most likely to form a solution when mixed? view available hint(s)for part a which of the pairs of compounds below is most likely to form a solution when mixed? heptane (c7h16) and acetonitrile (h3ccn) water and ammonia (nh3) sodium chloride (nacl) and pentane (c5h12) ammonia (nh3) and isooctane (c8h18) marx believed that was the first economic system capable of maximizing the immense productive potential of human labor and ingenuity. oncogenes directly promote cancer by causing unregulated cell proliferation, while tumor suppressor mutations only promote cancer indirectly by causing genetic instability. What does millers quote about his actions reveal about him What is sin(60) in degrees? how to calculate federal funds target rate with target inflation rate current inflation rate real equilibriujm federal funds rate and output gap As a means of distinguishing one individual from another through DNA typing, genetics focus on ______, which are non-coding regions of the DNA. Graph the line that has a slope of -4/3 and includes the point ( -6,2) Uses and gratification assumes that consumers of mass media are active agents who deliberately choose what pleases them. Part of having media literacy is being skeptical of what is presented. The cultural studies syndrome suggests that the world is actually more violent than is portrayed in the media. TRUE The term __________ is used to describe what those in one country buy from those inother countries.A. exportsB. importsC. tradeD. surplus The following is now known about biofeedback as an effective relaxation technique.People can be taught to control their physiological functions, and researchers are still uncertain why biofeedback works. t or f a error occurs when the program successfully compiles, but halts unexpectedly during runtime. if someone routinely responds to stress with a learned helplessness response, their response will involve ___ Erin has a balance of $1,123.72 in her check register. On her statement, the balance of her account is $879.87.Not reported on the bank statement are deposits of $62.42, $21, and $61.14. There are outstanding checks in theamount of $60.24 and $50.24 and an ATM withdrawal of $40. After Erin reconciles her check register with herstatement, what entry does she need to make in her register?