\[ a^2 y''(x)^2-2 a x y''(x)+y'(x)=0 \] ✗ Mathematica : cpu = 0.937468 (sec), leaf count = 0
DSolve[Derivative[1][y][x] - 2*a*x*Derivative[2][y][x] + a^2*Derivative[2][y][x]^2 == 0,y[x],x]
, 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 = 2.88 (sec), leaf count = 81
dsolve(a^2*diff(diff(y(x),x),x)^2-2*a*x*diff(diff(y(x),x),x)+diff(y(x),x)=0,y(x))
\[y \left (x \right ) = \int \RootOf \left (-\left (\int _{\textit {\_g}}^{\textit {\_Z}}\frac {1}{x \sqrt {x^{2}-\textit {\_f}}-x^{2}+2 \textit {\_f} a}d \textit {\_f} \right )+c_{1}\right )d x +c_{2}\]