4.264   ODE No. 1264

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

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

Mathematica: cpu = 0.064008 (sec), leaf count = 23 $$\left\{\{y(x)\to c_2(x^2+x+3)+c_1{e}^{-x}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 19 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-x}+\mathit{\_}\mathit{C}\mathit{2}(x^2+x+3)\}$$