2.543   ODE No. 543

1. Problem in Latex
2. Mathematica input
3. Maple input

$$x(x^2+1)y^{\prime }(x)-x^{2}y(x)+y(x{)}^3(-y^{\prime }(x{)}^2)+xy(x{)}^2{y}^{\prime }(x{)}^3=0$$ ✗ Mathematica : cpu = 300.004 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 1.629 (sec), leaf count = 325

$$\{y\left(x\right)=-\frac{i}{2}\sqrt[4]{-16x^4+40x^2+2-2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=-\frac{i}{2}\sqrt[4]{-16x^4+40x^2+2+2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=\frac{i}{2}\sqrt[4]{-16x^4+40x^2+2-2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=\frac{i}{2}\sqrt[4]{-16x^4+40x^2+2+2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=-\frac{1}{2}\sqrt[4]{-16x^4+40x^2+2-2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=\frac{1}{2}\sqrt[4]{-16x^4+40x^2+2-2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=-\frac{1}{2}\sqrt[4]{-16x^4+40x^2+2+2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=\frac{1}{2}\sqrt[4]{-16x^4+40x^2+2+2\sqrt{-512x^6+192x^4-24x^2+1}}\}$$