2.1294   ODE No. 1294

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

\[ (168 x-96) y'(x)+144 (x-1) x y''(x)+y(x)=0 \] Mathematica : cpu = 0.0585765 (sec), leaf count = 44

\[\left \{\left \{y(x)\to c_1 \, _2F_1\left (\frac {1}{12},\frac {1}{12};\frac {2}{3};x\right )+\sqrt [3]{-1} c_2 \sqrt [3]{x} \, _2F_1\left (\frac {5}{12},\frac {5}{12};\frac {4}{3};x\right )\right \}\right \}\] Maple : cpu = 0.404 (sec), leaf count = 33

\[ \left \{ y \left ( x \right ) =\sqrt [6]{x} \left ( {\it LegendreQ} \left ( -{\frac {1}{2}},{\frac {1}{3}},\sqrt {1-x} \right ) {\it \_C2}+{\it LegendreP} \left ( -{\frac {1}{2}},{\frac {1}{3}},\sqrt {1-x} \right ) {\it \_C1} \right ) \right \} \]