已知du=2xydx+x²dy,求原函数u(x,y)

问题描述:

已知du=2xydx+x²dy,求原函数u(x,y)

du=2xydx+x²dy
=ydx^2 + x^2dy
= d(x^2y)
(u,xy) = x^2y + C