设p=y'则y"=dp/dx=dp/dy* dy/dx=pdp/dy方程化为:pdp/dy=p^3+pdp/dy=p^2+1dp/(p^2+1)=dyarctanp=y+cp=tan(y+c)dy/dx=tan(y+c)dy/tan(y+c)=dxcos(y+c)dy/sin(y+c)=dxd(sin(y+c))/sin(y+c)=dxln[sin(y+c)]=x+c1sin(y+c)=c2e^x