2.814   ODE No. 814

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

\[ y'(x)=\frac {y(x) \left (x^7 y(x)^2-3 x^3 y(x)-3\right )}{x \left (x^3 y(x)+1\right )} \] Mathematica : cpu = 0.13934 (sec), leaf count = 72

\[\left \{\left \{y(x)\to \frac {x}{-x^4+\frac {\sqrt {x+x (-2 x+c_1)}}{\sqrt {\frac {1}{x^7}}}}\right \},\left \{y(x)\to -\frac {x}{x^4+\frac {\sqrt {x+x (-2 x+c_1)}}{\sqrt {\frac {1}{x^7}}}}\right \}\right \}\] Maple : cpu = 0.115 (sec), leaf count = 38

\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{3}} \left ( \sqrt {{\it \_C1}-2\,x}-1 \right ) ^{-1}},y \left ( x \right ) =-{\frac {1}{{x}^{3}} \left ( \sqrt {{\it \_C1}-2\,x}+1 \right ) ^{-1}} \right \} \]