Solution: In each of 10 through 15, verify that the given functions y1 and y2 satisfy

Chapter 3, Problem 14

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

In each of 10 through 15, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation; then find a particular solution of the given nonhomogeneous equation. In 14 and 15, g is an arbitrary continuous function. x2 y__ + xy_ + ( x2 14 ) y = 3x3/2 sin x, x > 0; y1( x) = x1/2 sin x, y2( x) = x1/2 cos x

Questions & Answers

QUESTION:

In each of 10 through 15, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation; then find a particular solution of the given nonhomogeneous equation. In 14 and 15, g is an arbitrary continuous function. x2 y__ + xy_ + ( x2 14 ) y = 3x3/2 sin x, x > 0; y1( x) = x1/2 sin x, y2( x) = x1/2 cos x

ANSWER:

Step 1 of 5

First check that  and  satisfy the corresponding homogeneous equation.

Find the derivatives of  and .

                                                    

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back