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 = 0.0840009 (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 = 0.016 (sec), leaf count = 37

\[ \left \{ y \left ( x \right ) =\sqrt {{{\rm e}^{-2\,x}}{\it \_C1}-4\,{x}^{2}},y \left ( x \right ) =-\sqrt {{{\rm e}^{-2\,x}}{\it \_C1}-4\,{x}^{2}} \right \} \]