2.1099   ODE No. 1099

1. Problem in Latex
2. Mathematica input
3. Maple input

$$x^3(e^{x^3}-v^2)y(x)+x{y}^{″}(x)-y^{\prime }(x)=0$$ ✗ Mathematica : cpu = 1.0443 (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 = 0.041 (sec), leaf count = 25

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{J}}_v\left({\mathrm{e}}^{\frac{x^2}{2}}\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{Y}}_v\left({\mathrm{e}}^{\frac{x^2}{2}}\right)\}$$