2.1105   ODE No. 1105

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

$$a{y}^{\prime }(x)+bxy(x)+x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0152571 (sec), leaf count = 64

$$\left\{\{y(x)\to c_1{x}^{\frac{1-a}{2}}{J}_{\frac{a-1}{2}}\left(\sqrt{b}x\right)+c_2{x}^{\frac{1-a}{2}}{Y}_{\frac{a-1}{2}}\left(\sqrt{b}x\right)\}\right\}$$ ✓ Maple : cpu = 0.075 (sec), leaf count = 39

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