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 = 300.003 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.08 (sec), leaf count = 89

$$\{y\left(x\right)=c_1\sqrt{x}\mathrm{BesselJ}(1,2{(-a)}^{\frac{1}{4}}\sqrt{x})+c_2\sqrt{x}\mathrm{BesselY}(1,2{(-a)}^{\frac{1}{4}}\sqrt{x})+c_3\sqrt{x}\mathrm{BesselJ}(1,2\sqrt{-\sqrt{-a}}\sqrt{x})+c_4\sqrt{x}\mathrm{BesselY}(1,2\sqrt{-\sqrt{-a}}\sqrt{x})+\frac{b{x}^2}{a}\}$$