2.1827   ODE No. 1827

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

$$a^2{y}^{″}(x{)}^2-2ax{y}^{″}(x)+y^{\prime }(x)=0$$ ✗ Mathematica : cpu = 0.757356 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] - 2*a*x*Derivative[2][y][x] + a^2*Derivative[2][y][x]^2 == 0, y[x], x]

✓ Maple : cpu = 3.053 (sec), leaf count = 81

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