2.1287   ODE No. 1287

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

\[ 3 (2 x-1) y'(x)+9 (x-1) x y''(x)-20 y(x)=0 \] Mathematica : cpu = 0.0150525 (sec), leaf count = 83

\[\left \{\left \{y(x)\to c_2 \sqrt [3]{1-x} \sqrt [3]{x} Q_1^{\frac {2}{3}}(2 x-1)-\frac {c_1 (2-2 x)^{2/3} \sqrt [3]{1-x} x^{2/3} (6 x-5)}{3\ 2^{2/3} (x-1) \Gamma \left (\frac {4}{3}\right )}\right \}\right \}\] Maple : cpu = 0.047 (sec), leaf count = 27

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