2.876   ODE No. 876

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

\[ y'(x)=-\frac {y(x)^2 \left (x^2 y(x)-2 x y(x)+y(x)-2 x\right )}{2 x (x y(x)-2 y(x)-2)} \] Mathematica : cpu = 0.0190893 (sec), leaf count = 89

\[\left \{\left \{y(x)\to \frac {2}{\sqrt {2} \sqrt {-\frac {1}{x}} \sqrt {-x \left (2 c_1-\log (x)+2\right )}+x-2}\right \},\left \{y(x)\to -\frac {2}{\sqrt {2} \sqrt {-\frac {1}{x}} \sqrt {-x \left (2 c_1-\log (x)+2\right )}-x+2}\right \}\right \}\]

Maple : cpu = 0.05 (sec), leaf count = 41

\[ \left \{ y \left ( x \right ) =-4\, \left ( \sqrt {{\it \_C1}-8\,\ln \left ( x \right ) }-2\,x+4 \right ) ^{-1},y \left ( x \right ) =4\, \left ( \sqrt {{\it \_C1}-8\,\ln \left ( x \right ) }+2\,x-4 \right ) ^{-1} \right \} \]