4.321   ODE No. 1321

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

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

Mathematica: cpu = 0.026003 (sec), leaf count = 18 $$\left\{\{y(x)\to c_{1}x+c_{2}x(x+\log (x))\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 15 $$\{y\left(x\right)=x\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}x(x+\ln \left(x\right))\}$$