(1+y^2)dx-(1+x^2)dy=0的通解

问题描述:

(1+y^2)dx-(1+x^2)dy=0的通解

(1+y^2)dx-(1+x^2)dy=0
(1+y^2)dx=(1+x^2)dy
dx/(1+x^2)=dy/(1+y^2)
两边积分
arctanx=arctany+C