4.284   ODE No. 1284

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

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

Mathematica: cpu = 0.044506 (sec), leaf count = 47 $$\left\{\{y(x)\to c_1(2x+1{)}^3+\frac{c_2}{2x+1}+\frac{-72x^2-56x-7}{192(2x+1)}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 42 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{2x+1}+{(2x+1)}^3\mathit{\_}\mathit{C}\mathit{2}-\frac{72x^2+56x+7}{384x+192}\}$$