(a) Find the inverse Laplace transform of (b) Solve using Laplace transforms the differential equation given that...

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(a) Find the inverse Laplace transform of

S-4 s + 4s + 13

(b) Solve using Laplace transforms the differential equation

d.x dt + 2y = 2(2 + cost + 2 sint)

given that y = –3 when t = 0.

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