Question

решить уравнение x*(y+1)dx+(x-1)dy=0

Answer 1

x(y+1)dx+(x-1)dy=0
$frac{dy}{(y+1)}=- frac{xdx}{(x-1)}$
$intlimitsfrac{dy}{(y+1)}=- intlimitsfrac{xdx}{(x-1)}$
$ln(y+1)=-x-ln(x-1)+C$
$y= frac{C}{ e^{x}(x-1)}-1$