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1. Solve the following initial value problem using Laplace transforms. d^2y/dt^2+ y = g(t) with y(0)=0...

1. Solve the following initial value problem using Laplace transforms.
d^2y/dt^2+ y = g(t) with y(0)=0 and dy/dt(0) = 1 where g(t) = t/2 for 0<t<6 and g(t) = 3 for t>6

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