4.338   ODE No. 1338

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =1/3\,{\frac { \left ( 6\,x-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x \left ( x-2 \right ) }}+1/3\,{\frac {y \left ( x \right ) }{{x}^{2} \left ( x-2 \right ) }}=0} \]

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

Mathematica: cpu = 0.067008 (sec), leaf count = 40 \[ \left \{\left \{y(x)\to \frac {3}{935} c_2 x \left (18 x^2-102 x+187\right )+c_1 \sqrt [6]{x} (2-x)^{17/6}\right \}\right \} \]

Maple: cpu = 0.016 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( 18\,{x}^{3}-102\,{x}^ {2}+187\,x \right ) +{\it \_C2}\,\sqrt [6]{x} \left ( x-2 \right ) ^{{ \frac {17}{6}}} \right \} \]