4.301   ODE No. 1301

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

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

Mathematica: cpu = 0.033004 (sec), leaf count = 31 $$\left\{\{y(x)\to \frac{c_2(ax+b{)}^3}{3ax}+\frac{c_1}{x}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 22 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}+\frac{\mathit{\_}\mathit{C}\mathit{2}{(ax+b)}^3}{x}\}$$