Question: Suppose the function x(t) satisfies the initial value problem mx + cx' + kx = F(t), x(a) = bo, x'(a) = b for ta and

Suppose the function x(t) satisfies the initial value problem

mx" + cx' + kx = F(t), x(a) = bo, x'(a) =

mx" + cx' + kx = F(t), x(a) = bo, x'(a) = b for ta and x(t) = 0 for t < a. Then show that X(s) = L{x (t)} satisfies the equation m (5 (eas X) - sbo-b) + c(s(eas X) - bo) + k (eas X) = L{F(t + a)}.

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