3.543   ODE No. 543

$$\boxed{{\displaystyle x{\left(y\left(x\right)\right)}^2{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^3-{\left(y\left(x\right)\right)}^3{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+x(x^2+1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-x^{2}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 1.060 (sec), leaf count = 325 $$\{y\left(x\right)=-\frac{i}{2}\sqrt[4]{-16x^4+40x^2+2-2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=-\frac{i}{2}\sqrt[4]{-16x^4+40x^2+2+2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=\frac{i}{2}\sqrt[4]{-16x^4+40x^2+2-2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=\frac{i}{2}\sqrt[4]{-16x^4+40x^2+2+2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=-\frac{1}{2}\sqrt[4]{-16x^4+40x^2+2-2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=\frac{1}{2}\sqrt[4]{-16x^4+40x^2+2-2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=-\frac{1}{2}\sqrt[4]{-16x^4+40x^2+2+2\sqrt{-512x^6+192x^4-24x^2+1}},y\left(x\right)=\frac{1}{2}\sqrt[4]{-16x^4+40x^2+2+2\sqrt{-512x^6+192x^4-24x^2+1}}\}$$