求解dx/x^2=dy/y^2
问题描述:
求解dx/x^2=dy/y^2
答
∵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.