$\displaystyle x\frac{dy}{dx}=4y$ answer is y=$\displaystyle cx^4$
to get variables on both sides i get $\displaystyle \frac{x}{dx}=\frac{4y}{dy}$
2. Differentials should be located on top, it's actually $\displaystyle \frac{dy}{4y}=\frac{dx}{x},$ now just perform integration.