2.1291   ODE No. 1291

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

\[ 48 (x-1) x y''(x)+(152 x-40) y'(x)+53 y(x)=0 \] Mathematica : cpu = 0.0761593 (sec), leaf count = 82

\[\left \{\left \{y(x)\to \sqrt [6]{-1} c_2 \sqrt [6]{x} \, _2F_1\left (\frac {5}{4}-\frac {\sqrt {\frac {5}{2}}}{6},\frac {1}{12} \left (15+\sqrt {10}\right );\frac {7}{6};x\right )+c_1 \, _2F_1\left (\frac {1}{12} \left (13-\sqrt {10}\right ),\frac {1}{12} \left (13+\sqrt {10}\right );\frac {5}{6};x\right )\right \}\right \}\]

Maple : cpu = 0.058 (sec), leaf count = 62

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{\mbox {$_2$F$_1$}({\frac {13}{12}}-{\frac {\sqrt {5}\sqrt {2}}{12}},{\frac {13}{12}}+{\frac {\sqrt {5}\sqrt {2}}{12}};\,{\frac {5}{6}};\,x)}+{\it \_C2}\,\sqrt [6]{x}{\mbox {$_2$F$_1$}({\frac {5}{4}}-{\frac {\sqrt {5}\sqrt {2}}{12}},{\frac {5}{4}}+{\frac {\sqrt {5}\sqrt {2}}{12}};\,{\frac {7}{6}};\,x)} \right \} \]