2.1260   ODE No. 1260

\[ y'(x) (x (\text {a1}+\text {b1}+1)-\text {d1})+\text {a1} \text {b1} \text {d1}+(x-1) x y''(x)=0 \] Mathematica : cpu = 0.221147 (sec), leaf count = 65


\[\left \{\left \{y(x)\to \text {a1} \text {b1} x \Gamma (\text {d1}+1) \, _3\tilde {F}_2(1,\text {a1}+\text {b1}+1,1;\text {d1}+1,2;x)-\frac {c_1 x^{1-\text {d1}} \, _2F_1(1-\text {d1},\text {a1}+\text {b1}-\text {d1}+1;2-\text {d1};x)}{\text {d1}-1}+c_2\right \}\right \}\] Maple : cpu = 0.485 (sec), leaf count = 76


\[y \relax (x ) = \int \left (-\mathrm {signum}\left (x -1\right )^{\mathit {a1} +\mathit {b1} -\mathit {d1}} \left (-\mathrm {signum}\left (x -1\right )\right )^{-\mathit {a1} -\mathit {b1} +\mathit {d1}} \hypergeom \left (\left [\mathit {d1} , -\mathit {a1} -\mathit {b1} +\mathit {d1} \right ], \left [1+\mathit {d1} \right ], x\right ) \mathit {a1} \mathit {b1} +x^{-\mathit {d1}} c_{1}\right ) \left (x -1\right )^{-\mathit {a1} -\mathit {b1} -1+\mathit {d1}}d x +c_{2}\]