2.1197   ODE No. 1197

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

$$-(a+x)y(x)+x^2{y}^{″}(x)-(x^2-2x)y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0201052 (sec), leaf count = 78

$$\left\{\{y(x)\to c_1{e}^{\frac{1}{2}(x-\log (x))}{J}_{\frac{1}{2}\sqrt{4a+1}}(-\frac{ix}{2})+c_2{e}^{\frac{1}{2}(x-\log (x))}{Y}_{\frac{1}{2}\sqrt{4a+1}}(-\frac{ix}{2})\}\right\}$$

✓ Maple : cpu = 0.044 (sec), leaf count = 49

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\frac{x}{2}}{\mathit{I}}_{\frac{1}{2}\sqrt{4a+1}}\left(\frac{x}{2}\right)\frac{1}{\sqrt{x}}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{\frac{x}{2}}{\mathit{K}}_{\frac{1}{2}\sqrt{4a+1}}\left(\frac{x}{2}\right)\frac{1}{\sqrt{x}}\}$$