This equation describes the motion of a certain mass connected to a spring with viscous friction on

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This equation describes the motion of a certain mass connected to a spring with viscous friction on the surface

 3j + 39y + 120y = f(t)


where f (t) is an applied force. Suppose that f(t) = 0 for t < 0 and f (t) = 10 for t ≥ 0.

a. Use MuPAD to obtain y(t) if y(0) = ẏ(0) = 0.

b. Use MuPAD to obtain y(t) if y(0) = 0 and ẏ(0) = 10.

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