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

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- Dec 19th 2011, 09:36 PMPunchverifying the solution of a differential equation
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 - Dec 19th 2011, 10:18 PMFernandoRevillaRe: verifying the solution of a differential equation