5.55   ODE No. 1503

$$\boxed{{\displaystyle (x^2+1)\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+8x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+10\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-3+x^{-2}-2\ln \left(x\right)=0}}$$

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

Mathematica: cpu = 0.106013 (sec), leaf count = 62 $$\left\{\{y(x)\to c_3-\frac{100(3c_2-1)x^3+900c_{2}x+225c_1+36x^5-60(3x^4+10x^2+15)x\log (x)}{900{(x^2+1)}^2}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 86 $$\{y\left(x\right)=\frac{x^2(x^2+2)\mathit{\_}\mathit{C}\mathit{1}}{{(x^2+1)}^2}+\frac{x(x^2+3)\mathit{\_}\mathit{C}\mathit{2}}{{(x^2+1)}^2}+\frac{\mathit{\_}\mathit{C}\mathit{3}}{{(x^2+1)}^2}+\frac{x(45x^4\ln \left(x\right)-9x^4+150x^2\ln \left(x\right)-50x^2+225\ln \left(x\right)-225)}{225{(x^2+1)}^2}\}$$