4.281   ODE No. 1281

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

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

Mathematica: cpu = 0.020503 (sec), leaf count = 28 $$\left\{\{y(x)\to \frac{c_1{e}^x}{\sqrt{x}}+c_2{e}^x\sqrt{x}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 19 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^x\frac{1}{\sqrt{x}}+\mathit{\_}\mathit{C}\mathit{2}\sqrt{x}{\mathrm{e}}^x\}$$