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a) Consider the Causal LTI system characterized by, dt2d2y+3dtdy+2y=2u(t) Solve the above differential equation using the Laplace transform and find its output response y(t). You

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a) Consider the Causal LTI system characterized by, dt2d2y+3dtdy+2y=2u(t) Solve the above differential equation using the Laplace transform and find its output response y(t). You may assume zero initial conditions. b) Find the Laplace transform of following signals. x(t)=tu(t)x(t)=u(t3)+u(t+2)x(t)=tetu(t)

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