5.73   ODE No. 1521

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

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

Mathematica: cpu = 0.065008 (sec), leaf count = 35 $$\left\{\{y(x)\to c_1{x}^2+c_3{x}^2(x+\frac{1}{x}+{\log }^2(x))+c_2{x}^2\log (x)\}\right\}$$

Maple: cpu = 0.358 (sec), leaf count = 31 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{x}^2+\mathit{\_}\mathit{C}\mathit{2}{x}^2\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{3}(x{(\ln \left(x\right))}^2+x^2+1)x\}$$