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 = 0.0223515 (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 = 0.042 (sec), leaf count = 45

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