2.1516   ODE No. 1516

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

$$x^3{y}^{(3)}(x)+(x+3)x^2{y}^{″}(x)+5(x-6)x{y}^{\prime }(x)+(4x+30)y(x)=0$$ ✗ Mathematica : cpu = 300.035 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.457 (sec), leaf count = 263

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}(x^4-84x^3+2016x^2-20160x+75600)}{x^6}+\frac{\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-x}(x^8+28x^7+450x^6+5100x^5+42900x^4+267120x^3+1179360x^2+3326400x+4536000)}{x^6}+\frac{\mathit{\_}\mathit{C}\mathit{3}({\mathrm{e}}^{-x}\mathit{E}\mathit{i}(1,-x)x^8+28{\mathrm{e}}^{-x}\mathit{E}\mathit{i}(1,-x)x^7+450{\mathrm{e}}^{-x}\mathit{E}\mathit{i}(1,-x)x^6+5100{\mathrm{e}}^{-x}\mathit{E}\mathit{i}(1,-x)x^5+x^7+42900{\mathrm{e}}^{-x}\mathit{E}\mathit{i}(1,-x)x^4+29x^6+267120{\mathrm{e}}^{-x}\mathit{E}\mathit{i}(1,-x)x^3+60x^4\ln \left(x\right)+480x^5+1179360{\mathrm{e}}^{-x}{x}^2\mathit{E}\mathit{i}(1,-x)-5040x^3\ln \left(x\right)+5612x^4+3326400{\mathrm{e}}^{-x}x\mathit{E}\mathit{i}(1,-x)+120960x^2\ln \left(x\right)+40152x^3+4536000{\mathrm{e}}^{-x}\mathit{E}\mathit{i}(1,-x)-1209600x\ln \left(x\right)+654192x^2+4536000\ln \left(x\right)-2761920x+27367200)}{x^6}\}$$