# Math Help - Ode

1. ## Ode

Find the Integrating Factor for the following :-

$xdy - ydx = x^2dy$

Please do tell the rule which is applied here.

2. there is no special rule, just rewrite the equation:

$
y' + \frac{1}
{{x^2 - x}}y = 0$

so the integrating factor is:

$
\mu (x) = e^{\int {\frac{1}
{{x(x - 1)}}dx} } = e^{\int {\frac{1}
{{x - 1}} - \frac{1}
{x}dx} } = \frac{{x - 1}}
{x}
$