Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. y'+y=8+δ(t-1) y(0)=0 a.Find the Laplace transform of the solution. Y(s)=? b.Obtain the solution y(t) y(t)=? c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 1 y(t)=  .................................................................................................................. when 0 < t < 1 y(t)= ................................................................................................................... when 1 < t <

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Q: Consider the following initial value problem, in which an input of large amplitude and short…

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