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Solve using Laplace transforms; answer must be written in terms of y(t) . Your third initial value problem problem is: d2 z dz dt2 +

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Solve using Laplace transforms; answer must be written in terms of y(t)

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. Your third initial value problem problem is: d2 z dz dt2 + 4 dt + 3z = -tH (t -2) , subject to the initial condition z(t) = 3 and z'(t) = 2, when t = 0. Here H(t) is the Heaviside function

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