2.1007   ODE No. 1007

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

$$-4e^{x^2}{x}^2+y^{″}(x)-2y(x)=0$$ ✓ Mathematica : cpu = 0.0596089 (sec), leaf count = 135

$$\left\{\{y(x)\to c_1{e}^{\sqrt{2}x}+c_2{e}^{-\sqrt{2}x}+\frac{e^{-\sqrt{2}x}(-2e^{x(x+\sqrt{2})}x+2e^{(x-\sqrt{2})x+2\sqrt{2}x}x+\sqrt{2}{e}^{x(x+\sqrt{2})}+\sqrt{2}{e}^{(x-\sqrt{2})x+2\sqrt{2}x})}{2\sqrt{2}}\}\right\}$$

✓ Maple : cpu = 0.015 (sec), leaf count = 26

$$\{y\left(x\right)={\mathrm{e}}^{\sqrt{2}x}\mathit{\_}\mathit{C}\mathit{2}+{\mathrm{e}}^{-\sqrt{2}x}\mathit{\_}\mathit{C}\mathit{1}+{\mathrm{e}}^{x^2}\}$$