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 = 0.199788 (sec), leaf count = 80

\[\left \{\left \{y(x)\to \frac {1}{6} \left (-4 x-\frac {\sqrt {2} \sqrt {-x^4+3 e^{4 c_1}}}{x}\right )\right \},\left \{y(x)\to \frac {1}{6} \left (-4 x+\frac {\sqrt {2} \sqrt {-x^4+3 e^{4 c_1}}}{x}\right )\right \}\right \}\] Maple : cpu = 0.079 (sec), leaf count = 63

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