dx/dy+(y^4-3x^2)/xy=0dx/dy+y^3/x-3x/y=0设x/y=u,则x=yuu+ydu/dy+y^2/u-3u=0du/dy+y/u-2u/y=0设u/y=t,则u=ytt+ydt/dy+1/t-2t=0dy/y=dt/(t-1/t)C1+lny=ln(t^2-1)^1/2C2y^2=y^2-1将t,u代入得Cy^6=x^2-y^4 (C1C2C是积...
dx/dy+(y^4-3x^2)/xy=0dx/dy+y^3/x-3x/y=0设x/y=u,则x=yuu+ydu/dy+y^2/u-3u=0du/dy+y/u-2u/y=0设u/y=t,则u=ytt+ydt/dy+1/t-2t=0dy/y=dt/(t-1/t)C1+lny=ln(t^2-1)^1/2C2y^2=y^2-1将t,u代入得Cy^6=x^2-y^4 (C1C2C是积...