(a) Find the Laplace transforms of (b) Using Laplace transform methods, solve the differential equation given...

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(a) Find the Laplace transforms of

(i) cos(wt + p) (ii) esin(wt + )

(b) Using Laplace transform methods, solve the differential equation

dx dt d.x + 4 + 8x = cos 2t dt

given that x = 2 and dx/dt = 1 when t = 0.

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