2.1104   ODE No. 1104

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

$$ay(x)+v{y}^{\prime }(x)+x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0368186 (sec), leaf count = 104

$$\left\{\{y(x)\to c_2{a}^{\frac{v-1}{2}-v+1}{x}^{\frac{v-1}{2}-v+1}\mathrm{\Gamma }(2-v)J_{1-v}\left(2\sqrt{a}\sqrt{x}\right)+c_1{a}^{\frac{1-v}{2}}{x}^{\frac{1-v}{2}}\mathrm{\Gamma }(v)J_{v-1}\left(2\sqrt{a}\sqrt{x}\right)\}\right\}$$

✓ Maple : cpu = 0.013 (sec), leaf count = 47

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