3.837   ODE No. 837

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =- \left ( -\ln \left ( x \right ) \left ( \left ( y \left ( x \right ) \right ) ^{3} \right ) ^{2/3}-{\it \_F1} \left ( \left ( y \left ( x \right ) \right ) ^{3}+3\,{\it Ei} \left ( 1,-\ln \left ( x \right ) \right ) \right ) \ln \left ( x \right ) \sqrt [3]{ \left ( y \left ( x \right ) \right ) ^{3}} \right ) ^{-1}=0} \]

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

Mathematica: cpu = 3.085892 (sec), leaf count = 52 \[ \text {DSolve}\left [y'(x)=-\frac {1}{-\sqrt [3]{y(x)^3} \log (x) \text {$\_$F1}\left (3 \text {Ei}(-\log (x))+y(x)^3\right )-\left (y(x)^3\right )^{2/3} \log (x)},y(x),x\right ] \]

Maple: cpu = 1.700 (sec), leaf count = 0 \[ \text {could not solve} \]