3.979   ODE No. 979

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

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

Mathematica: cpu = 0.011001 (sec), leaf count = 37 $$\{\{y(x)\to x-\frac{1}{\sqrt{c_1-2\log (x)}}\},\{y(x)\to \frac{1}{\sqrt{c_1-2\log (x)}}+x\}\}$$

Maple: cpu = 0.047 (sec), leaf count = 57 $$\{y\left(x\right)=1(x\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}-1)\frac{1}{\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}},y\left(x\right)=1(x\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}+1)\frac{1}{\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}}\}$$