2.246   ODE No. 246

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

\[ x (3 y(x)+2 x) y'(x)+3 (y(x)+x)^2=0 \] Mathematica : cpu = 0.0323422 (sec), leaf count = 71

\[\left \{\left \{y(x)\to -\frac {\sqrt {6 e^{4 c_1}-2 x^4}+4 x^2}{6 x}\right \},\left \{y(x)\to \frac {\sqrt {6 e^{4 c_1}-2 x^4}-4 x^2}{6 x}\right \}\right \}\]

Maple : cpu = 0.168 (sec), leaf count = 63

\[ \left \{ y \left ( x \right ) ={\frac {1}{6\,{\it \_C1}\,x} \left ( -4\,{x}^{2}{\it \_C1}-\sqrt {-2\,{x}^{4}{{\it \_C1}}^{2}+6} \right ) },y \left ( x \right ) ={\frac {1}{6\,{\it \_C1}\,x} \left ( -4\,{x}^{2}{\it \_C1}+\sqrt {-2\,{x}^{4}{{\it \_C1}}^{2}+6} \right ) } \right \} \]