求解dx/x^2=dy/y^2

问题描述:

求解dx/x^2=dy/y^2

∵dx/x^2=dy/y^2
==>-1/x=-1/y+C (C是常数)
==>1/x-1/y+C=0
∴原方程的通解是1/x-1/y+C=0.