2.1775   ODE No. 1775

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

$$-a(x+2)y(x{)}^2+x(x+1{)}^{2}y(x)y^{″}(x)-x(x+1{)}^2{y}^{\prime }(x{)}^2+2(x+1{)}^{2}y(x)y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.131396 (sec), leaf count = 29

$$\left\{\{y(x)\to c_2{e}^{\frac{-a-c_1}{x}+a\log (x+1)}\}\right\}$$

✓ Maple : cpu = 0.369 (sec), leaf count = 31

$$\{y\left(x\right)=\frac{{(1+x)}^a}{\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^a}{\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}}{\left({\mathrm{e}}^{\frac{a}{x}}\right)}^{-1}\}$$