2.628   ODE No. 628

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

\[ y'(x)=\frac {1}{3} x \left (3 \sqrt {x^2+3 y(x)}-2\right ) \] Mathematica : cpu = 0.0767801 (sec), leaf count = 32

\[\left \{\left \{y(x)\to \frac {1}{48} \left (-2 \left (27 c_1+8\right ) x^2+81 c_1^2+9 x^4\right )\right \}\right \}\]

Maple : cpu = 10.563 (sec), leaf count = 23

\[ \left \{ {\it \_C1}+{\frac {3\,{x}^{2}}{4}}+{\frac {2}{3}}-\sqrt {{x}^{2}+3\,y \left ( x \right ) }=0 \right \} \]