Laplace Transforms: Problem 3 Consider the following initial value problem, in which an input of large amplitude and sho

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Laplace Transforms Problem 3 Consider The Following Initial Value Problem In Which An Input Of Large Amplitude And Sho 1 (23.91 KiB) Viewed 30 times

Laplace Transforms: Problem 3 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 = 2 + 8(t - 4), y(0) = 0. a. Find the Laplace transform of the solution. Y(s) = L{y(t)} = 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 = 4. y(t) if 0 < t < 4, if 4 < t <∞0.