2.1019   ODE No. 1019

\[ y(x) \left (1-4 a^2 b^2 x^2 e^{2 b x^2}\right )+y''(x)=0 \]

✗ Mathematica : cpu = 0.306785 (sec), leaf count = 0

DSolve[(1 - 4*a^2*b^2*E^(2*b*x^2)*x^2)*y[x] + Derivative[2][y][x] == 0,y[x],x]
 

, 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

dsolve(diff(diff(y(x),x),x)-(4*a^2*b^2*x^2*exp(2*b*x^2)-1)*y(x)=0,y(x))
 

, result contains DESol or ODESolStruc

\[y \left (x \right ) = \operatorname {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )+\left (-4 a^{2} b^{2} x^{2} {\mathrm e}^{2 b \,x^{2}}+1\right ) \textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]