INTa to b [y(x^2y')']dx = INTa to b [(yx^2y')'] - INa to b [x^2(y')^2]dx
Thank you!
Note: INTa to b just means "integral fom a to b"
I cant tell but are you trying to do a method of integration by parts where $\displaystyle \int_a^{b}y(x^2y')'dx=\int_a^{b}y(x^2\frac{dy^2}{d ^2x}+2x\frac{dy}{dx})dx$?