4.201   ODE No. 1201

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

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

Mathematica: cpu = 0.054007 (sec), leaf count = 44 $$\left\{\{y(x)\to \frac{c_1{e}^{-2x}(2x+3)}{2x^2}+\frac{c_2(2x^2-4x+3)}{4x^2}\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 34 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}(2x^2-4x+3)}{x^2}+\frac{\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-2x}(2x+3)}{x^2}\}$$