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In Problems 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(0) = x'(0) = 0 and construct the graph of the position function x(t). 33. m = 1, k = 9, c= 0; f(t) = sint if 0 < t< 2pi, f(t) = 0 if t > 2pi.

In Problems 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(0) = x'(0) = 0 and construct the graph of the position function x(t). 33. m = 1, k = 9, c= 0; f(t) = sint if 0 < t< 2pi, f(t) = 0 if t > 2pi.

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In Problems 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(0) = x'(0) = 0 and construct the graph of the position function x(t). 33. m = 1, k = 9, c= 0; f(t) = sint if 0 < t< 2pi, f(t) = 0 if t > 2pi.

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