2.207   ODE No. 207

\[ y(x) y'(x)+y(x)^2+4 x (x+1)=0 \] Mathematica : cpu = 0.0947851 (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


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