3.172   ODE No. 172

\[ \boxed { {x}^{3}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{x}^{4} \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}y \left ( x \right ) +20=0} \]

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

Mathematica: cpu = 0.040505 (sec), leaf count = 35 \[ \left \{\left \{y(x)\to -\frac {5 c_1 x^4-\frac {4}{x^5}}{x \left (c_1 x^5+\frac {1}{x^4}\right )}\right \}\right \} \]

Maple: cpu = 0.203 (sec), leaf count = 26 \[ \left \{ y \left ( x \right ) ={\frac {5\,{x}^{9}+4\,{\it \_C1}}{ \left ( -{x}^{9}+{\it \_C1} \right ) {x}^{2}}} \right \} \]