1) $\displaystyle y^3 -y = 2x $

show,

$\displaystyle 9(x^2 - \frac{1}{27})\frac{d^2 y}{dx^2} + 9x\frac{dy}{dx}=y$

i tried this few times but i couldn't get the answer

2)

$\displaystyle \int_0^\pi \frac{x}{1-sin(x)cos(\alpha)}dx= \frac{\pi(\pi -\alpha)}{sin(\alpha)}$

with substitution and using $\displaystyle \int_0^a f(x) =\int_0^a f(a-x) $