For last choose select fromIncrease decrease remain con Consider the following initial value problem:y" + 10y' + 50y = h(t); y(0) = 0, y/(0) = 5;了 50、st<警0st< ort2等h(t) =0,(a) Sketch the graph of the forcing function on an appropriate interval.60595857560555453525150(b) Find the solution of the given initial value problem.NOTE: Denote the two Heaviside functions by u(t) and ua(t). Indicate separatelythe values of c and d knowing that c is the minimum of the two values.y(t) =where c =d =(c) Use a graphing utility to view the graph of the solution.(d) Explain how the graphs of the forcing function and the solutionare related.The solution starts out as free oscillation, due to the initial conditions.The amplitude Choose oneas long as the forcing is present.Thereafter, the solution (Choose one ts out as froo oscillation due to the initiaChoose dChoose onercing isgrowssolutionrapidly decaysremains constant

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Answered: Consider the following initial value…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Consider the following initial value problem: y" + 10y' + 50y = h(t); y(0) = 0, y(0) = 5; %3D S 50,