5.78   ODE No. 1526

$$\boxed{{\displaystyle x^2(x^4+2x^2+2x+1)\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-(2x^6+3x^4-6x^2-6x-1)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(x^6-6x^3-15x^2-12x-2)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+(x^4+4x^3+8x^2+6x+1)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.203 (sec), leaf count = 20 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^x+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{x^{-1}}+\mathit{\_}\mathit{C}\mathit{3}x{\mathrm{e}}^x\}$$