Question

微分方程求通解，求大神帮忙看看

微分方程求通解，求大神帮忙看看谢谢谢谢谢谢

Answer 1

y' = (xy+y)/(xy+x)
= y(x+1)/[x(y+1) ]
∫(y+1)/y dy = ∫(x+1)/x dx
y+ ln|y| = x+ln|x| + C'
ln(y/x) = x-y + C'
y/x = Ce^(x-y)
y = Cx.e^(x-y)