Use Laplace transform method to solve the following initial value problems (a) d2y/dt2 + y = e^...

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Use Laplace transform method to solve the following initialvalue problems

(a) d2y/dt2 + y = e^ ?t ; y(0) = 0, y? (0) = 0.

(b) d2y/dt2+ y = t subject to the initialconditions y(0) = 0, y? (0) = 2

(c) dy/dt + 2y = 4e 3t subject to the initialcondition y(0) = 1.

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