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

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

 miy + cỷ + ky = At)


where f(t) is an applied force. The position and velocity of the mass at t = 0 are denoted by x0 and υ0. Use MuPAD to answer the following questions.

a. What is the free response in terms of x0 and υ0 if m = 3, c = 18, and k = 102?

b. What is the free response in terms of x0 and υ0 if m = 3, c = 39, and k = 120?

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