I am reviewing for a final and I don't know how an impulse affects the differential equation for motion in this mass-spring system. Can someone please help?(adsbygoogle = window.adsbygoogle || []).push({});

A mass m=1 is attached to a spring with constant k=2 and damping constant c=2. x(0)=0 & x'(0)=0. At the instant t=π, the mass is struck with a hammer, providing an impulse p=10.

Write the differential equation governing the motion of the mass.

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# Differential equation for motion in mass-spring system with impulse

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