:onsider the following initial value problem, in which an input of large amplitude and short duration has been idealized

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Onsider The Following Initial Value Problem In Which An Input Of Large Amplitude And Short Duration Has Been Idealized 1 (54.64 KiB) Viewed 42 times

:onsider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta anction. y′+y=3+δ(t−1),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=1. y(t)={​ if 0≤t<1 if 1≤t<∞​