2.242   ODE No. 242

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

\[ 2 x y(x) y'(x)+2 y(x)^2+1=0 \] Mathematica : cpu = 0.113008 (sec), leaf count = 60

\[\left \{\left \{y(x)\to -\frac {\sqrt {-x^2+e^{4 c_1}}}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {\sqrt {-x^2+e^{4 c_1}}}{\sqrt {2} x}\right \}\right \}\] Maple : cpu = 0.019 (sec), leaf count = 39

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