2.210   ODE No. 210

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

\[ y(x) y'(x)+x y(x)^2-4 x=0 \] Mathematica : cpu = 0.0976656 (sec), leaf count = 47

\[\left \{\left \{y(x)\to -\sqrt {4+e^{-x^2+2 c_1}}\right \},\left \{y(x)\to \sqrt {4+e^{-x^2+2 c_1}}\right \}\right \}\] Maple : cpu = 0.026 (sec), leaf count = 33

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