The following equation describes the motion of a certain mass connected to a spring, with viscous friction on the surface 3ÿ + 18y + 102y = 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. Plot y(t) for y(0) = y(0) = 0. b. Plot y(t) for y(0) = 0 and y(0) = 10. Discuss the effect of the nonzero initial velocity.

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