2.1293   ODE No. 1293

\[ 144 (x-1) x y''(x)+(120 x-48) y'(x)+y(x)=0 \] Mathematica : cpu = 0.245093 (sec), leaf count = 44


\[\left \{\left \{y(x)\to (-1)^{2/3} c_2 x^{2/3} \, _2F_1\left (\frac {7}{12},\frac {7}{12};\frac {5}{3};x\right )+c_1 \, _2F_1\left (-\frac {1}{12},-\frac {1}{12};\frac {1}{3};x\right )\right \}\right \}\] Maple : cpu = 0.052 (sec), leaf count = 33


\[y \relax (x ) = x^{\frac {1}{3}} \left (\LegendreQ \left (-\frac {1}{2}, \frac {2}{3}, \sqrt {1-x}\right ) c_{2}+\LegendreP \left (-\frac {1}{2}, \frac {2}{3}, \sqrt {1-x}\right ) c_{1}\right )\]