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 = 0.202227 (sec), leaf count = 56

DSolve[Derivative[1][y][x] == (I/2)*x^2*(I - 2*Sqrt[-x^3 + 6*y[x]]),y[x],x]
 

\[\left \{\left \{y(x)\to \frac {1}{6} \left (-W\left (-i e^{-x^3-1-6 c_1}\right ){}^2-2 W\left (-i e^{-x^3-1-6 c_1}\right )+x^3-1\right )\right \}\right \}\]

✓ Maple : cpu = 0.3 (sec), leaf count = 55

dsolve(diff(y(x),x) = 1/2*I*x^2*(I-2*(-x^3+6*y(x))^(1/2)),y(x))
 

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