Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function -4-5(t-1), (0)-6, (0) 0. = a Find the Laplace transform of the solution Y()-C (v(t)}- b. Obtain the solution y(t). (1) c Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t= 1. if 0 < t < 1, {₁ y(t) = if 1 ≤ t < 00.

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A: solution:Given the differential equationy''-7y'+10y=9 cos t+7 sin t   y0=5, y'0=-4Taking laplace…

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A: The solution to the above question is in the images below.

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