Question

Value it:-
$y-x\frac{dy}{dx}=0$

Answer 1

We have,

$y-x\frac{dy}{dx}=0$

$x\frac{dy}{dx}=y$

$\frac{dy}{y}=\frac{dx}{x}$

On integrating both sides, we get

$\int \frac{dy}{y}=\int \frac{dx}{x}$

$\log y=\log x+\log C$

$\log y=\log xC$

$y=xC$

Hence, this is the answer.