2.625   ODE No. 625

\[ y'(x)=\frac {1}{2} i x^2 \left (-2 \sqrt {6 y(x)-x^3}+i\right ) \] Mathematica : cpu = 0.308303 (sec), leaf count = 56


\[\left \{\left \{y(x)\to \frac {1}{6} \left (-W\left (i e^{-x^3-1-6 c_1}\right ){}^2-2 W\left (i e^{-x^3-1-6 c_1}\right )+x^3-1\right )\right \}\right \}\] Maple : cpu = 0.271 (sec), leaf count = 53


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