Problem: Solve the initial value problem given by a²y" – x(x + 2)y + (x + 2)y = x*, y(1) = y'(1) = 0 [HINT: Try letting y = x" on the left-hand side and see what happens. Then go from there. But note...

Extracted text: Problem: Solve the initial value problem given by a²y" – x(x + 2)y + (x + 2)y = x*, y(1) = y'(1) = 0 [HINT: Try letting y = x" on the left-hand side and see what happens. Then go from there. But note that the solution is not a polynomial.] %3D