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 and construct the graph of the position function x(t). mx' + cx' + kx=f(t), x(0)=x'(0)=0 m=1, k=64, c = 0; f(t)=sin 5t if 0 st≤ 2x, f(t)=0 ift>2x Click the icon to view a short table of Laplace transforms. GEKEND Solve the initial value problem. x(t) =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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 and construct the graph of the position function x(t).
mx' + cx' + kx=f(t), x(0)=x'(0)=0
m=1, k=64, c = 0; f(t)=sin 5t if 0 st≤ 2x, f(t)=0 ift>2x
Click the icon to view a short table of Laplace transforms.
Solve the initial value problem.
x(t) =
Transcribed Image Text: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 and construct the graph of the position function x(t). mx' + cx' + kx=f(t), x(0)=x'(0)=0 m=1, k=64, c = 0; f(t)=sin 5t if 0 st≤ 2x, f(t)=0 ift>2x Click the icon to view a short table of Laplace transforms. Solve the initial value problem. x(t) =
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