3. Solve the following problem by using the method of separation of variables, du + u, 0SIS1, t2 0, = a- with a positive constant a and subject to the conditions (a) uz(0, t) = uz(1, t) = 0, (b) u(r, 0) = sin (n2). %3D %3D

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A: Here is the solution of above problem.

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