please solve this in detail. its urgent

its from Partial Differential Equations

Q. No. 2: Assume that a perfectly elastic membrane producing resistance to its motion proportional to the half of velocity. The dimension of the membrane is b*b and its initial velocity is constant but initial acceleration is double of velocity and xed at all ends of the membrane. a} Model the Problem statement in mathematical form 13) Solve the resulting mathematical problem c} Find the displacement of the elastic membrane for large time