2.622   ODE No. 622

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

\[ y'(x)=\frac {1}{y(x)+\sqrt {3 x+1}+2} \] Mathematica : cpu = 300.029 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 2.735 (sec), leaf count = 77

\[ \left \{ \ln \left ( \left ( 3\,y \left ( x \right ) +6 \right ) \sqrt {3\,x+1}+3\, \left ( y \left ( x \right ) \right ) ^{2}-6\,x+12\,y \left ( x \right ) +10 \right ) -6\,{\frac {\sqrt {3\,x+1}}{\sqrt {99\,x+33}}{\it Artanh} \left ( {\frac {3\,\sqrt {3\,x+1}+6\,y \left ( x \right ) +12}{\sqrt {99\,x+33}}} \right ) }-{\it \_C1}=0 \right \} \]