x^2+xy+y^3=1,求dy/dx

问题描述:

x^2+xy+y^3=1,求dy/dx

解析
2xdx+ydx+xdy+3y²dy=0
(2x+y)dx+(x+3y²)dy=0
(2x+y)dx=-(x+3y²)dy
dy/dx=(2x+y)/-(x+3y²)