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 = 0.177136 (sec), leaf count = 38

\[\left \{\left \{y(x)\to \frac {1}{96} \left (-16 x^6+8 x^3-192 c_1 x^3-1-576 c_1{}^2-48 c_1\right )\right \}\right \}\] Maple : cpu = 0.427 (sec), leaf count = 23

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