1) Given an ODE y" +9y=3sin(3t). Find its general solution following steps below:

a) Find the general solution of the homogeneous ODE (the left hand side) and call it yh.

b) Verify that yp= -0.5tcos(3t) is a solution.. i.e show that yp" + 9yp'= 3sin(3t).

c) Construct the general solution of this ODE y=yh+yp

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