\[ x^3 \left (e^{x^3}-v^2\right ) y(x)+x y''(x)-y'(x)=0 \] ✗ Mathematica : cpu = 0.990392 (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 = 0.148 (sec), leaf count = 25
\[\left \{y \left (x \right ) = c_{1} \BesselJ \left (v , {\mathrm e}^{\frac {x^{2}}{2}}\right )+c_{2} \BesselY \left (v , {\mathrm e}^{\frac {x^{2}}{2}}\right )\right \}\]