2.1500   ODE No. 1500

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

$$\nu (2x+1)y^{\prime }(x)-\nu (x+1)y(x)-x(v+x)y^{″}(x)+x^2{y}^{(3)}(x)=0$$ ✗ Mathematica : cpu = 45.9694 (sec), leaf count = 0 , DifferentialRoot result

$$\left\{\{y(x)\to (x)\}\right\}$$

✓ Maple : cpu = 0.189 (sec), leaf count = 55

$$\{y\left(x\right)=c_2{x}^{\frac{\nu }{2}+\frac{1}{2}}\mathrm{BesselJ}(-\nu -1,2\sqrt{\nu }\sqrt{x})+c_3{x}^{\frac{\nu }{2}+\frac{1}{2}}\mathrm{BesselY}(-\nu -1,2\sqrt{\nu }\sqrt{x})+c_1{\mathrm{e}}^x\}$$