verify that $\displaystyle y=cx^2+\frac{2}{x}$ is a general solution of the differential equation $\displaystyle x^2\frac{dy}{dx}-2xy+6=0$
$\displaystyle \frac{dy}{dx}=\frac{2xy-6}{x^2}$
How do I continue? y seems to be in the way
verify that $\displaystyle y=cx^2+\frac{2}{x}$ is a general solution of the differential equation $\displaystyle x^2\frac{dy}{dx}-2xy+6=0$
$\displaystyle \frac{dy}{dx}=\frac{2xy-6}{x^2}$
How do I continue? y seems to be in the way