4.50   ODE No. 1050

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

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

Mathematica: cpu = 0.012002 (sec), leaf count = 23 $$\left\{\{y(x)\to c_1{e}^{x^2}+c_2{e}^{x^2}x\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 18 $$\{y\left(x\right)={\mathrm{e}}^{x^2}\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{x^2}x\}$$