2.1480   ODE No. 1480

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

$$-(2v+x)y^{″}(x)-(-2v+x-1)y^{\prime }(x)+x{y}^{(3)}(x)+(x-1)y(x)=0$$ ✓ Mathematica : cpu = 0.240311 (sec), leaf count = 91

$$\left\{\{y(x)\to \frac{1}{4}{e}^x(\frac{4c_3{x}^{2v+2}\mathrm{\Gamma }(v+\frac{3}{2}){}_1{\tilde{F}}_1(v+\frac{3}{2};2v+3;-2x)}{\mathrm{\Gamma }(\frac{1}{2}-v)}+c_2{4}^{-v}{G}_{2,3}^{2,1}\left(2x|\begin{array}{c}1,v+\frac{3}{2}\\ 1,2(v+1),0\end{array}\right)+4c_1)\}\right\}$$

✓ Maple : cpu = 0.282 (sec), leaf count = 35

$$\{y\left(x\right)={\mathrm{e}}^x\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}{x}^{v+1}{\mathit{I}}_{-v-1}\left(x\right)+\mathit{\_}\mathit{C}\mathit{3}{x}^{v+1}{\mathit{K}}_{v+1}\left(x\right)\}$$