Suppose L(y) = (1-x)y" - 2xy + 4y. We can check that y(x) = x is a solution to L(3) = 2-22 (not necessary to show this). We can also check that y2(2) = x is a solution to L(y) = 2x. (not necessary to show this). Use linearity to determine the solution to L(y3)2-2x2x Note that L(y) is the same operator for all the above.