3.980   ODE No. 980

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {{x}^{3} \left ( y \left ( x \right ) \right ) ^{3}+6\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+12\,xy \left ( x \right ) +8+2\,x}{{x}^{3}}}=0} \]

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

Mathematica: cpu = 0.012002 (sec), leaf count = 43 \[ \left \{\left \{y(x)\to -\frac {1}{\sqrt {c_1-2 x}}-\frac {2}{x}\right \},\left \{y(x)\to \frac {1}{\sqrt {c_1-2 x}}-\frac {2}{x}\right \}\right \} \]

Maple: cpu = 0.016 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) =-{\frac {1}{\sqrt {{\it \_C1}-2\,x}}}-2\, {x}^{-1},y \left ( x \right ) ={\frac {1}{\sqrt {{\it \_C1}-2\,x}}}-2\,{ x}^{-1} \right \} \]