2.1228   ODE No. 1228

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

$$ay(x)+(x^2+1)y^{″}(x)+3x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.016133 (sec), leaf count = 82

$$\left\{\{y(x)\to \frac{c_1{P}_{\frac{1}{2}(2\sqrt{1-a}-1)}^{\frac{1}{2}}(ix)}{\sqrt[4]{x^2+1}}+\frac{c_2{Q}_{\frac{1}{2}(2\sqrt{1-a}-1)}^{\frac{1}{2}}(ix)}{\sqrt[4]{x^2+1}}\}\right\}$$

✓ Maple : cpu = 0.092 (sec), leaf count = 59

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