2.427   ODE No. 427

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

\[ (3 x+5) y'(x)^2-(3 y(x)+x) y'(x)+y(x)=0 \] Mathematica : cpu = 300.057 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.033 (sec), leaf count = 60

\[ \left \{ y \left ( x \right ) ={\frac { \left ( 3\,x+5 \right ) {{\it \_C1}}^{2}-{\it \_C1}\,x}{3\,{\it \_C1}-1}},y \left ( x \right ) ={\frac {x}{3}}+{\frac {10}{9}}-{\frac {2}{9}\sqrt {15\,x+25}},y \left ( x \right ) ={\frac {x}{3}}+{\frac {10}{9}}+{\frac {2}{9}\sqrt {15\,x+25}} \right \} \]