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 = 0.0361035 (sec), leaf count = 72

\[\left \{\left \{y(x)\to \frac {x}{\frac {\sqrt {x \left (c_1-2 x\right )+x}}{\sqrt {\frac {1}{x^7}}}-x^4}\right \},\left \{y(x)\to -\frac {x}{\frac {\sqrt {x \left (c_1-2 x\right )+x}}{\sqrt {\frac {1}{x^7}}}+x^4}\right \}\right \}\] Maple : cpu = 0.047 (sec), leaf count = 38

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