\[ x^3 \left (e^{x^3}-v^2\right ) y(x)-y'(x)+x y''(x)=0 \] ✗ Mathematica : cpu = 0.987607 (sec), leaf count = 0 , could not solve
DSolve[(E^x^3 - v^2)*x^3*y[x] - Derivative[1][y][x] + x*Derivative[2][y][x] == 0, y[x], x]
✓ Maple : cpu = 0.33 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl J}_{v}\left ({{\rm e}^{{\frac {{x}^{2}}{2}}}}\right )}+{\it \_C2}\,{{\sl Y}_{v}\left ({{\rm e}^{{\frac {{x}^{2}}{2}}}}\right )} \right \} \]