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

Chapter 3, Problem 10

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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. t2 y__ 2y = 3t2 1, t > 0; y1(t) = t2, y2(t) = t1

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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. t2 y__ 2y = 3t2 1, t > 0; y1(t) = t2, y2(t) = t1

ANSWER:

Step 1 of 3

It need to be verified that  and  satisfy the corresponding homogeneous equation.

                                                    

Divide the equation  by .

 

From the above equation,

                                                                           

Which are all continuous on.

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