Question: 1. Solve the following initial value problems. (a) y + 4y = 12 + 3et, y(0) =0, y'(0) =2 (b) y - 2y' ty =

1. Solve the following initial value problems. (a) y" + 4y = 12 + 3et, y(0) =0, y'(0) =2 (b) y" - 2y' ty = tet + 4, y(0)=2, y'(0)=-1 (c) y" + 3y' + 2y = et(+2 + 1) sin(2t) + 3e-t cos(t) + 4et, y(0) = 0, y'(0) = 0

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