2.1552   ODE No. 1552

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

$$ay(x)-b{x}^2+x^2{y}^{(4)}(x)+2x{y}^{(3)}(x)=0$$ ✗ Mathematica : cpu = 300.001 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.088 (sec), leaf count = 89

$$\{y\left(x\right)=\frac{b{x}^2}{a}+\mathit{\_}\mathit{C}\mathit{1}\sqrt{x}{\mathit{J}}_1\left(2\sqrt[4]{-a}\sqrt{x}\right)+\mathit{\_}\mathit{C}\mathit{2}\sqrt{x}{\mathit{Y}}_1\left(2\sqrt[4]{-a}\sqrt{x}\right)+\mathit{\_}\mathit{C}\mathit{3}\sqrt{x}{\mathit{J}}_1\left(2\sqrt{-\sqrt{-a}}\sqrt{x}\right)+\mathit{\_}\mathit{C}\mathit{4}\sqrt{x}{\mathit{Y}}_1\left(2\sqrt{-\sqrt{-a}}\sqrt{x}\right)\}$$