2.1257   ODE No. 1257

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

$$((a+1)x+b)y^{\prime }(x)+(x-1)x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0496385 (sec), leaf count = 33

$$\left\{\{y(x)\to \frac{c_1{x}^{b+1}{}_2{F}_1(b+1,a+b+1;b+2;x)}{b+1}+c_2\}\right\}$$

✓ Maple : cpu = 0.358 (sec), leaf count = 27

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+{}_2\text{F}{}_1(b+1,a+b+1;b+2;x)x^{b+1}\mathit{\_}\mathit{C}\mathit{2}\}$$