\[ y''(x)-y(x) \left (4 a^2 b^2 x^2 e^{2 b x^2}-1\right )=0 \] ✗ Mathematica : cpu = 0.606162 (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
\[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) + \left ( -4\,{a}^{2}{b}^{2}{x}^{2}{{\rm e}^{2\,b{x}^{2}}}+1 \right ) {\it \_Y} \left ( x \right ) \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]