(a) Obtain the inverse Laplace transforms of (b) Use Laplace transforms to solve the differential equation given...

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(a) Obtain the inverse Laplace transforms of

(i) s+ 4 s + 2s + 10 (ii) s-3 (s  1)(S-2) -

(b) Use Laplace transforms to solve the differential equation

dy dt dy + 2 + y = 3te dt

given that y = 4 and dy/dt = 2, when t = 0.

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