2.1260   ODE No. 1260

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

$$y^{\prime }(x)(x(\text{a1}+\text{b1}+1)-\text{d1})+\text{a1}\text{b1}\text{d1}+(x-1)x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.246186 (sec), leaf count = 65

$$\left\{\{y(x)\to \text{a1}\text{b1}x\mathrm{\Gamma }(\text{d1}+1){}_3{\tilde{F}}_2(1,\text{a1}+\text{b1}+1,1;\text{d1}+1,2;x)-\frac{c_1{x}^{1-\text{d1}}{}_2{F}_1(1-\text{d1},\text{a1}+\text{b1}-\text{d1}+1;2-\text{d1};x)}{\text{d1}-1}+c_2\}\right\}$$ ✓ Maple : cpu = 0.712 (sec), leaf count = 77

$$\{y\left(x\right)=c_2+\int -(\mathit{a}\mathit{1}\mathit{b}\mathit{1}{(-\mathrm{signum}(x-1))}^{-\mathit{a}\mathit{1}-\mathit{b}\mathit{1}+\mathit{d}\mathit{1}}\mathrm{signum}{(x-1)}^{\mathit{a}\mathit{1}+\mathit{b}\mathit{1}-\mathit{d}\mathit{1}}\mathrm{hypergeom}([\mathit{d}\mathit{1},-\mathit{a}\mathit{1}-\mathit{b}\mathit{1}+\mathit{d}\mathit{1}],[\mathit{d}\mathit{1}+1],x)-c_1{x}^{-\mathit{d}\mathit{1}}){(x-1)}^{-\mathit{a}\mathit{1}-\mathit{b}\mathit{1}+\mathit{d}\mathit{1}-1}dx\}$$