2.891   ODE No. 891

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

\[ y'(x)=\frac {y(x)^2 \left (x^4 y(x)+2 x^2 y(x)+2 x^2-2 y(x)\right )}{x^3 \left (x^2 y(x)+x^2-y(x)\right )} \] Mathematica : cpu = 0.0242318 (sec), leaf count = 86

\[\left \{\left \{y(x)\to \frac {x^2}{x^2 \left (\sqrt {\frac {1}{x^5}} \sqrt {x^5 \left (c_1-2 \log (x)+1\right )}-1\right )+1}\right \},\left \{y(x)\to -\frac {x^2}{x^2 \left (\sqrt {\frac {1}{x^5}} \sqrt {x^5 \left (c_1-2 \log (x)+1\right )}+1\right )-1}\right \}\right \}\]

Maple : cpu = 0.072 (sec), leaf count = 56

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