2.207   ODE No. 207

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

\[ y(x) y'(x)+y(x)^2+4 x (x+1)=0 \] Mathematica : cpu = 0.100815 (sec), leaf count = 47

\[\left \{\left \{y(x)\to -\sqrt {-4 x^2+c_1 e^{-2 x}}\right \},\left \{y(x)\to \sqrt {-4 x^2+c_1 e^{-2 x}}\right \}\right \}\] Maple : cpu = 0.027 (sec), leaf count = 37

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