(1) Consider the differential equation * + 4x = k(t) where k(t) = fo, 0 4. (a) Rewrite the given ODE using the Heaviside unit step func- tion. (b) If the initial conditions (0) = 1 and ż(0) = 0 are given, us- ing Laplace transform method solve the Initial Value Prob- lem.

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