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 = 0.0735028 (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 = 0.016 (sec), leaf count = 33

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