2.1569   ODE No. 1569

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

$$x{y}^{\prime }(x)((2a-1)\text{C0}+4b^2\text{B0}{c}^2{x}^{2c})+(6-4a)x^3{y}^{(3)}(x)+x^2{y}^{″}(x)(\text{A0}+4b^2{c}^2{x}^{2c})+y(x)(4b^2{c}^2\text{D0}{x}^{2c}+\text{E0})+x^4{y}^{(4)}(x)=0$$ ✗ Mathematica : cpu = 300.25 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.645 (sec), leaf count = 63

$$\{y\left(x\right)=(({\mathit{J}}_{\mu }\left(x^{c}b\right)\mathit{\_}\mathit{C}\mathit{2}+{\mathit{Y}}_{\mu }\left(x^{c}b\right)\mathit{\_}\mathit{C}\mathit{3}){\mathit{J}}_{\nu }\left(x^{c}b\right)+{\mathit{Y}}_{\nu }\left(x^{c}b\right)(\mathit{\_}\mathit{C}\mathit{4}{\mathit{Y}}_{\mu }\left(x^{c}b\right)+\mathit{\_}\mathit{C}\mathit{1}{\mathit{J}}_{\mu }\left(x^{c}b\right)))x^a\}$$