\[ a^2 y''(x)^2-2 a x y''(x)+y'(x)=0 \] ✗ Mathematica : cpu = 1.48238 (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 = 3.5 (sec), leaf count = 81
\[\left \{y \left (x \right ) = c_{2}+\int \RootOf \left (c_{1}-\left (\int _{\textit {\_g}}^{\textit {\_Z}}\frac {1}{2 \textit {\_f} a -x^{2}+\sqrt {x^{2}-\textit {\_f}}\, x}d \textit {\_f} \right )\right )d x, y \left (x \right ) = c_{2}+\int \RootOf \left (c_{1}-\left (\int _{\textit {\_g}}^{\textit {\_Z}}\frac {1}{-2 \textit {\_f} a +x^{2}+\sqrt {x^{2}-\textit {\_f}}\, x}d \textit {\_f} \right )\right )d x\right \}\]