2.1153   ODE No. 1153

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

$$y(x)(a{x}^2-(v-1)v)+x^2{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0357918 (sec), leaf count = 56

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

✓ Maple : cpu = 0.027 (sec), leaf count = 33

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sqrt{x}{\mathit{J}}_{v-\frac{1}{2}}\left(\sqrt{a}x\right)+\mathit{\_}\mathit{C}\mathit{2}\sqrt{x}{\mathit{Y}}_{v-\frac{1}{2}}\left(\sqrt{a}x\right)\}$$