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HW8: Problem 6 Previous Problem Problem List Next Problem Results for this submission Entered Anewer Preview Reault 5 (5/[s'(s+1)])+(Je (-=]//(s+1)) + correct B( # + 1) 8 + 1 5-5'[e"(-0]+h(t-1)" [e*(-4+2] 5- 5p + + h(t - 1)-4+2 incorrect 5-5'Te (-1)] 5 - 50 correct 5-5'[ev(-0)]+(e*[-(1-1)1) 5- 5e ' te (-1) conect At least one of the answers above is NOT correct. (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 ty = 5+ 5(t -1), y(0) =0. a. Find the Laplace transform of the solution. Y(8) = Cty(t)) = 5/[s(s+1)] + e"(-sM(s+1) b. Obtain the solution y()- y(t) = 5-5e"(-()+h(t-1)@"(-4+2) c. Express the solution as a piecewise defined function and think about what happens to the graph of the solution at t = 1. 5-501-0) if 0