Q5: You have given the following Differential Equation (D.E): d? z (i(t)) + 4 (i(t)) +...

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Q5: You have given the following Differential Equation (D.E): d? z (i(t)) + 4 (i(t)) + 5i(t) = 5u(t) %3D dt2 di(0) i(0) = 1 and dt The solution of this D.E is i(t) = [1+ 2e-2tsin(t)] u(t) Use Laplace transform to prove this solution Q5: You have given the following Differential Equation (D.E): d? z (i(t)) + 4 (i(t)) + 5i(t) = 5u(t) %3D dt2 di(0) i(0) = 1 and dt The solution of this D.E is i(t) = [1+ 2e-2tsin(t)] u(t) Use Laplace transform to prove this solution