. The motion of a spring-mass system is governed by d2 y dt2 + 4 dy dt + 13y = 10 sin

Chapter 10, Problem 16

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. The motion of a spring-mass system is governed by d2 y dt2 + 4 dy dt + 13y = 10 sin 5t, y(0) = 0, dy dt (0) = 0. At t = 10 seconds, the mass is dealt a blow in the downward (positive) direction that instantaneously imparts 2 units of impulse to the system. Determine the resulting motion of the mass.

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