Question: 1. (a) Determine the Green's function G(x, t) for the boundary-value problem day 2 - dx2 + y = cscx, y(0) = 0 and y(n/2)

1. (a) Determine the Green's function G(x, t) for the boundary-value problem day 2 - dx2 + y = cscx, y(0) = 0 and y(n/2) = 0 (b) Determine the solution y(x). 2. Solve the boundary-value problem du daz + k- =ex dx for x > 0 given the initial conditions (0) = 0, and y'(0) = 0

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