5.75   ODE No. 1523

$$\boxed{{\displaystyle (x^2+1)x^3\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-(4x^2+2)x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(10x^2+4)x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-4(3x^2+1)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.118515 (sec), leaf count = 74 $$\left\{\{y(x)\to c_1(-x^3+3x^2-x)+\frac{1}{2}{c}_2(x^3-2x^2+x)-\frac{c_{3}x(-x^3+3x^2-x)(\log (x)+1)}{2(x^2-3x+1)}\}\right\}$$

Maple: cpu = 0.359 (sec), leaf count = 26 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{x}^2+\mathit{\_}\mathit{C}\mathit{2}{x}^2(\ln \left(x\right)+1)+\mathit{\_}\mathit{C}\mathit{3}(x^3+x)\}$$