2.1200   ODE No. 1200

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

$$-(v-1)vy(x)+x^2{y}^{″}(x)+2x^2{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0232991 (sec), leaf count = 45

$$\left\{\{y(x)\to e^{-x}\sqrt{x}(c_1{J}_{v-\frac{1}{2}}(-ix)+c_2{Y}_{v-\frac{1}{2}}(-ix))\}\right\}$$

✓ Maple : cpu = 0.016 (sec), leaf count = 27

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