\[ y(x) \left (1-4 a^2 b^2 x^2 e^{2 b x^2}\right )+y''(x)=0 \] ✗ Mathematica : cpu = 0.580956 (sec), leaf count = 0
, could not solve
DSolve[(1 - 4*a^2*b^2*E^(2*b*x^2)*x^2)*y[x] + Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \mathit {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )+\left (-4 a^{2} b^{2} x^{2} {\mathrm e}^{2 b \,x^{2}}+1\right ) \textit {\_Y} \relax (x )\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\]