4.322   ODE No. 1322

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

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

Mathematica: cpu = 0.028504 (sec), leaf count = 44 $$\left\{\{y(x)\to c_1(-\frac{1}{3x^3}+\frac{1}{x^2}-\frac{3}{x}-\frac{1}{x+1}-4\log (x)+4\log (x+1))+c_2\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 44 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+(-4\ln \left(x\right)+4\ln (1+x)-\frac{12x^3+6x^2-2x+1}{(3+3x)x^3})\mathit{\_}\mathit{C}\mathit{2}\}$$