2.1235   ODE No. 1235

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

$$ay(x)+(x^2-1)y^{″}(x)+x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0287086 (sec), leaf count = 50

$$\left\{\{y(x)\to c_2\sin (\sqrt{a}\log (\sqrt{x^2-1}+x))+c_1\cos (\sqrt{a}\log (\sqrt{x^2-1}+x))\}\right\}$$

✓ Maple : cpu = 0.474 (sec), leaf count = 43

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