8.237   ODE No. 1827

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

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

Mathematica: cpu = 0.768097 (sec), leaf count = 29 $$\text{DSolve}[a^2{y}^{″}(x{)}^2-2ax{y}^{″}(x)+y^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 2.169 (sec), leaf count = 81 $$\{y\left(x\right)=\int \mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }_{\mathit{\_}\mathit{g}}^{\mathit{\_}\mathit{Z}}{(x\sqrt{x^2-\mathit{\_}\mathit{f}}-x^2+2a\mathit{\_}\mathit{f})}^{-1}\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{2},y\left(x\right)=\int \mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }_{\mathit{\_}\mathit{g}}^{\mathit{\_}\mathit{Z}}{(x\sqrt{x^2-\mathit{\_}\mathit{f}}+x^2-2a\mathit{\_}\mathit{f})}^{-1}\mathrm{d}\mathit{\_}\mathit{f}+\mathit{\_}\mathit{C}\mathit{1})\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{2}\}$$