Question: Solve the given initial-value problem. {(1/1 + y 2 )} + cos x - 2xy) dy/dx = y(y + sin x), y(0) = 1

Solve the given initial-value problem.

{(1/1 + y2)} + cos x - 2xy) dy/dx = y(y + sin x), y(0) = 1

Step by Step Solution

★★★★★

3.45 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let M y 2 y sin x and N 2xy cos x11 y 2 So that M y 2y sin ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (2 attachments)

PDF file Icon

1596_6062c74ceef3d_674657.pdf

180 KBs PDF File

Word file Icon

1596_6062c74ceef3d_674657.docx

120 KBs Word File

Students Have Also Explored These Related First Course Differential Equations Questions!

Q:

Solve the given initial-value problem. dy/dx = cos (x + y), y(0) = /4

Q:

Solve the given initial-value problem. (x 2 + 2y 2 ) dx/dy = xy, y(-1) = 1

Q:

Solve the given initial-value problem. xy 2 dy/dx = y 3 - x 3 , y(1) = 2

Q:

Use the Laplace transform to solve the given initial-value problem. y' + 3y = et, y(0) = 2 y(t) = [13e -37 + ebt] X Need Help? Read It Master It [-/1 Points] DETAILS ZILLDIFFEQ9 7.2.040. Use the...

Q:

The inverse forms of the results in Problem 49 in Exercises 7.1 are s-a = (sa). +62 - eat cos bt and b (sa) + = eat sin bt. +62 Use the Laplace transform and these inverses to solve the given...

Q:

Please solve the following problems with the method mentioned in their respective heading Section 3.5: problem. 7, 12. In Problems 1-26, solve the given differential equation by 28. 2y" + 3y' - 2y =...

Q:

2.3 please 1_ circle around the answer 2- Your handwriting is special so I can understand 3- I just want the answers thanks 3. [0/1 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQMODAP11 2.3.009.EP. MY...

Q:

3. [0/1 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQ9 4.3.010. Find the general solution of the given second-order differential equation. 6y"+ y= 0 y(x) = y = C ( cos [(v 6 )x/6]) + C,( sin [(v 6...

Q:

1. [1/3 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQMODAP10 2.3.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the general solution of the given differential equation. Z+y = e2x esx + C y = Give...

Q:

5. [0/1 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQ9 4.3.011. Find the general solution of the given second-order differential equation. y" - 10y' + 26y = 0 y(x) = Ce cos (3t) + Cge sin (3t) X Need...

Q:

for the system shown in the figure, which of the following statements are correct. (1 Point) u2 = P = u = = #2 %3D %3D = = us0 = = M= 0

Q:

A spring loaded piston/cylinder contains 1.5 kg of air at 27C and 160 kPa. It is now heated to 900 K in a process where the pressure is linear in volume to a final volume of twice the initial volume....

Q:

since the total income for the married filing jointly is 240,000 can they file schedule 1

Q:

28. Let X be an n X p data matrix satisfying the model assumptions made at the beginning of Sections 1 and 5, and let X" = ex, where e is an orthogonal matrix, the first s rows of which span TIo. If...

Q:

In problem, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity differ by an integer. Use the method of Frobenius to obtain at least...

Q:

(a) Proceed as in Example 5 to show that xJ' (x) = -J (x) + xJ -1(x). Write 2n + = 2(n + ) . (b) Use the result in part (a) to derive (21).

Q:

In problem proceed as in Example 3 to rewrite the given expression using a single power series whose general term involves x k . E n(n 1)c,x"-2 + E C"+2 n=2 n=0

Q:

Suppose rRF = 8%, rM = 12%, and bi = 1.8. a. What is ri , the required rate of return on Stock i? Round your answer to two decimal places. % b. Now suppose rRF (1) increases to 9%. The slope of the...

Q:

What would the missing values be and if you could explain that would be great $ (a) 0 110,000 2 Equity, December 31, 2015 3 Owner investments for stock during the year 4 Dividends during the year 5...

Q:

Biotech Corporation stock had its last dividend paid at 0.80 per share and the managers of the company expect the growth rate of the firm to be 4 percent. The market portfolio return has an annual...