2.1226   ODE No. 1226

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

$$-(v-1)vy(x)+(x^2+1)y^{″}(x)+2x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0106585 (sec), leaf count = 30

$$\{\{y(x)\to c_1{P}_{v-1}(ix)+c_2{Q}_{v-1}(ix)\}\}$$ ✓ Maple : cpu = 0.223 (sec), leaf count = 25

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{P}(v-1,ix)+\mathit{\_}\mathit{C}\mathit{2}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{Q}(v-1,ix)\}$$