2.635   ODE No. 635

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

\[ y'(x)=\frac {1}{2} x \left (2 \sqrt {x^3-6 y(x)}+x\right ) \] Mathematica : cpu = 0.164765 (sec), leaf count = 33

\[\left \{\left \{y(x)\to \frac {1}{24} \left (-9 x^4+4 x^3+36 c_1 x^2-36 c_1{}^2\right )\right \}\right \}\] Maple : cpu = 0.417 (sec), leaf count = 22

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