Assume that a perfectly elastic membrane producing resistance to its motion proportional to the twice of velocity.
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Question:
Assume that a perfectly elastic membrane producing resistance to its motion proportional to the twice of velocity. The dimension of the membrane is 1*1 and its initial velocity is 2 but initial acceleration is half of the velocity and fixed at all ends of the membrane.
a) Model the Problem statement in mathematical form
b) Solve the resulting mathematical problem
c) Find the displacement of the elastic membrane for a large time
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