3.721   ODE No. 721

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/36\, \left ( 18\,{x}^{3/2}+36\, \left ( y \left ( x \right ) \right ) ^{2}-12\,{x}^{3}y \left ( x \right ) +{x}^{6} \right ) \sqrt {x}=0} \]

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

Mathematica: cpu = 0.021003 (sec), leaf count = 27 \[ \left \{\left \{y(x)\to \frac {1}{c_1-\frac {2 x^{3/2}}{3}}+\frac {x^3}{6}\right \}\right \} \]

Maple: cpu = 0.062 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\frac {{x}^{3}}{6}}+ \left ( {\it \_C1}-{ \frac {2}{3}{x}^{{\frac {3}{2}}}} \right ) ^{-1} \right \} \]