2.1118   ODE No. 1118

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

$$y^{\prime }(x)(x(a+b)+m+n)+y(x)(abx+an+bm)+x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0946846 (sec), leaf count = 51

$$\left\{\{y(x)\to c_1{e}^{-ax}U(m,m+n,(a-b)x)+c_2{e}^{-ax}{L}_{-m}^{m+n-1}(x(a-b))\}\right\}$$

✓ Maple : cpu = 0.102 (sec), leaf count = 43

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-ax}\mathit{M}(m,n+m,x(a-b))+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-ax}\mathit{U}(m,n+m,x(a-b))\}$$