2.1019   ODE No. 1019

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

$$y^{″}(x)-y(x)(4a^2{b}^2{x}^2{e}^{2b{x}^2}-1)=0$$ ✗ Mathematica : cpu = 0.778743 (sec), leaf count = 0 , could not solve

DSolve[-((-1 + 4*a^2*b^2*E^(2*b*x^2)*x^2)*y[x]) + Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

$$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+(-4a^2{b}^2{x}^2{\mathrm{e}}^{2b{x}^2}+1)\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$