2.1255   ODE No. 1255

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

$$a{y}^{\prime }(x)+(x-1)x{y}^{″}(x)-2y(x)=0$$ ✓ Mathematica : cpu = 0.212453 (sec), leaf count = 118

$$\left\{\{y(x)\to \frac{c_1(a^2+2ax-a+2x^2-2x)}{a^2+3a+4}+\frac{c_2{x}^{a+1}(a^2+2ax-a+2x^2-2x)(1-x{)}^{1-a}}{(a-1)a(a+1)(a^2+3a+4)(a^2+a(2x-1)+2(x-1)x)}\}\right\}$$

✓ Maple : cpu = 0.108 (sec), leaf count = 42

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