4.332   ODE No. 1332

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=\frac{\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{1+x}-1/4\frac{(3x+1)y\left(x\right)}{x^2(1+x)}=0}}$$

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

Mathematica: cpu = 0.023503 (sec), leaf count = 26 $$\left\{\{y(x)\to c_1\sqrt{x}+c_2\sqrt{x}(x+\log (x))\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 19 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sqrt{x}+\mathit{\_}\mathit{C}\mathit{2}\sqrt{x}(x+\ln \left(x\right))\}$$