Question

A solution of the differential equation
$\left(\frac{dy}{dx}\right)-x\frac{dy}{dx}+y=0$ is

Answer 1

$\left(\frac{dy}{dx}\right)(1-x)+y=0or\left(\frac{dy}{dx}\right)(1-x)=-yor\int \left(\frac{dy}{dx}\right)=\int \left(\frac{-dx}{1-x}\right)log\left|y\right|=+log|1-x|+logc\left|y\right|=c|1-x|$