8.104   ODE No. 1694

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

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

Mathematica: cpu = 0.196025 (sec), leaf count = 115 $$\{\{y(x)\to \exp \left(\frac{-c_1-2a{\text{erf}}^{-1}(-i\sqrt{\frac{2}{\pi }}\sqrt{a{e}^{\frac{c_1}{a}}(c_2+x){}^2}){}^2}{2a}\right)\},\{y(x)\to \exp \left(\frac{-c_1-2a{\text{erf}}^{-1}\left(i\sqrt{\frac{2}{\pi }}\sqrt{a{e}^{\frac{c_1}{a}}(c_2+x){}^2}\right){}^2}{2a}\right)\}\}$$

Maple: cpu = 1.669 (sec), leaf count = 55 $$\{{\int }^{y\left(x\right)}\frac{1}{\sqrt{2a\ln \left(\mathit{\_}\mathit{a}\right)-2\mathit{\_}\mathit{C}\mathit{1}a}}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0,{\int }^{y\left(x\right)}-\frac{1}{\sqrt{2a\ln \left(\mathit{\_}\mathit{a}\right)-2\mathit{\_}\mathit{C}\mathit{1}a}}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0\}$$