9. (Won constant forcing function) In Exercise 8 we included a forcing term that

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9. (Won constant forcing function) In Exercise 8 we included a forcing term that was a constant. The suggested solution technique would have worked even if the forcing term were a nonconstant function of a. But in this exercise we allow for t dependence as well. Thus, consider the problem yut F(r, t), (9.1) To solve, we can use essentially the same eigenvector ex- pansion method that is used in Section 11.3.2 to solve the nonhomogeneous matrix problem Ax Ax c, and again in Exercise 17 of Section 18.3 to solve the nonhomogeneous diffusion equation u ut F(ar, t) (a) Accordingly, solve (9.1) by seeking (9.2) n (t) sin n-1 and expanding

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trying going through this example

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