2.625   ODE No. 625

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

\[ y'(x)=\frac {1}{2} i x^2 \left (-2 \sqrt {6 y(x)-x^3}+i\right ) \] Mathematica : cpu = 0.295057 (sec), leaf count = 56

\[\left \{\left \{y(x)\to \frac {1}{6} \left (-W\left (i e^{-6 c_1-x^3-1}\right ){}^2-2 W\left (i e^{-6 c_1-x^3-1}\right )+x^3-1\right )\right \}\right \}\] Maple : cpu = 0.161 (sec), leaf count = 55

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