Question: how do we solve for An (SHOW ALL STEPS) The solution is thus: y (5, T) = A,J. (2,,5) exp (-A;t) The equation and boundary

how do we solve for An (SHOW ALL STEPS)

The solution is thus: y (5, T) = A,J. (2,,5) exp (-A;t) The equation and boundary conditions are of the Sturm-Liouville types. Using the initial condition at T = 0, y (5,0) = -2vo (1 - $2) gives: - -2vo (1 -52) 5J. (2,5) de = An 51: (2,5) dE 0 0 Integrating and solving for An yields: 16vo 1 A = - 2 3 JI ( 2 , )

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