2.631   ODE No. 631

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

\[ y'(x)=\frac {1}{2} x^2 \left (2 \sqrt {x^3-6 y(x)}+1\right ) \] Mathematica : cpu = 0.0790744 (sec), leaf count = 31

\[\left \{\left \{y(x)\to \frac {1}{6} \left (\left (1-12 c_1\right ) x^3-36 c_1^2-x^6\right )\right \}\right \}\]

Maple : cpu = 45.07 (sec), leaf count = 23

\[ \left \{ {\it \_C1}-{x}^{3}-{\frac {1}{2}}-\sqrt {{x}^{3}-6\,y \left ( x \right ) }=0 \right \} \]