In 31 through 35, the values of mass m, spring constant k, dashpot resistance c, and

Chapter 4, Problem 4.5.35

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In 31 through 35, the values of mass m, spring constant k, dashpot resistance c, and force f (t) are given for a mass-spring-dashpot system with external forcing function. Solve the initial value problem mx" + cx' + kx = f(t), x(O) = x'(O) = 0 and construct the graph of the position function x(t). m = 1, k = 4, c = 4; f(t) = t if 0 ;;:; t ;;:; 2, f(t) = 0 if t > 2

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