(1 point) Consider the following initial value problem, in which an input of large amplitude and short duration has been

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1 Point Consider The Following Initial Value Problem In Which An Input Of Large Amplitude And Short Duration Has Been 1 (23.21 KiB) Viewed 10 times

(1 point) 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=9+8(1-4), y(0) = 0. a. Find the Laplace transform of the solution. Y(s) = C (y(t)) = 9/s+e^(-48) b. Obtain the solution y(t). y(t) = 9/(s(s+1))+(e^(-45))/(1+1) c. Express the solution as a plecewise-defined function and think about what happens to the graph of the solution at t = 4 9-9e^(-1) if 0 ≤r < 4, y(t) == { 9-9e^(-1)+e^(-(1-4) if 4 ≤1 < 00.