Question: maple does not gives exact solution to the given pde

PDE := diff(u(x, y), x, x)+diff(u(x, y), y, y)-6*x*y*(1-y)-2*x^3; BCs := u(0, y) = 0, u(1, y) = y*(1-y), u(x, 0) = 0, u(x, 1) = 0

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