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 = 0.0148341 (sec), leaf count = 60

\[\left \{\left \{y(x)\to -\frac {\sqrt {e^{4 c_1}-x^2}}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {\sqrt {e^{4 c_1}-x^2}}{\sqrt {2} x}\right \}\right \}\] Maple : cpu = 0.02 (sec), leaf count = 39

\[ \left \{ y \left ( x \right ) =-{\frac {1}{2\,x}\sqrt {-2\,{x}^{2}+4\,{\it \_C1}}},y \left ( x \right ) ={\frac {1}{2\,x}\sqrt {-2\,{x}^{2}+4\,{\it \_C1}}} \right \} \]