1.

Consider the differential equation

y" -y=e* with y(0) = 2 and y'(0) = 1/2.

You are to solve this equation three different ways: by the

methods we used for linear equations and the associated polyno.

mials; by power series; and by using the LoaPlace transform.

Obviously you should get the same answer in each case, but you

should treat these as three separate problems where you don't

know the answer in advance.