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Use the Laplace transform method to solve the initial value problem for the function y(t); y''(t) (t 2)H(t 2) = 0; with y(0) = 0

Use the Laplace transform method to solve the initial value problem for the function y(t); y''(t) (t 2)H(t 2) = 0; with y(0) = 0 and y'(0) = 0 and sketch the solution y(t) for the time interval t [0, 4].

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