Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function: x" – 5x' = 8(t - 4), a(0) = 6, a'(0)= 0. In the following parts, use h(t - c) for the Heaviside function h (t) if necessary. a. Find the Laplace transform of the solution. L{x(t)}(s) = b. Obtain the solution a(t). c(t)

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