2.643   ODE No. 643

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

\[ y'(x)=\frac {1}{3} x \left (3 x \sqrt {x^2+3 y(x)}-2\right ) \] Mathematica : cpu = 0.166771 (sec), leaf count = 31

\[\left \{\left \{y(x)\to \frac {1}{12} \left (x^6-4 x^2-6 c_1 x^3+9 c_1{}^2\right )\right \}\right \}\] Maple : cpu = 0.44 (sec), leaf count = 22

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