siny+e^x-xy^2=0,求dy/dx

siny+e^x-xy^2=0,求dy/dx
siny+e^x-xy^2=0,求dy/dx

siny+e^x-xy^2=0,求dy/dx
siny+e^x=xy^2,两边求微分,cosydy+e^xdx=d(xy^2)
cosydy+e^xdx=y^2dx+2xydy
整理,得(e^x-y^2)dx=(2xy-cosy)dy
dy/dx=(e^x-y^2)/(2xy-cosy)