2.1287   ODE No. 1287

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

\[ 9 (x-1) x y''(x)+3 (2 x-1) y'(x)-20 y(x)=0 \] Mathematica : cpu = 0.0213971 (sec), leaf count = 57

\[\left \{\left \{y(x)\to \frac {3 c_2 \sqrt [3]{-(x-1) x} \Gamma \left (\frac {4}{3}\right ) Q_1^{\frac {2}{3}}(2 x-1)+c_1 x^{2/3} (6 x-5)}{3 \Gamma \left (\frac {4}{3}\right )}\right \}\right \}\]

Maple : cpu = 0.027 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( 6\,x-5 \right ) {x}^{{\frac {2}{3}}}+{\it \_C2}\, \left ( 6\,x-1 \right ) \left ( x-1 \right ) ^{{\frac {2}{3}}} \right \} \]