2.1257   ODE No. 1257

\[ ((a+1) x+b) y'(x)+(x-1) x y''(x)=0 \] Mathematica : cpu = 0.0402535 (sec), leaf count = 33


\[\left \{\left \{y(x)\to \frac {c_1 x^{b+1} \, _2F_1(b+1,a+b+1;b+2;x)}{b+1}+c_2\right \}\right \}\] Maple : cpu = 0.184 (sec), leaf count = 27


\[y \relax (x ) = c_{1}+\hypergeom \left (\left [b +1, a +b +1\right ], \left [b +2\right ], x\right ) x^{b +1} c_{2}\]