ODE No. 631

\[ y'(x)=\frac {1}{2} x^2 \left (2 \sqrt {x^3-6 y(x)}+1\right ) \]

✓ Mathematica : cpu = 0.147674 (sec), leaf count = 31

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

\[\left \{\left \{y(x)\to \frac {1}{6} \left (-x^6+x^3-12 c_1 x^3-36 c_1{}^2\right )\right \}\right \}\]

✓ Maple : cpu = 0.271 (sec), leaf count = 23

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

\[c_{1} -x^{3}-\frac {1}{4}-\sqrt {x^{3}-6 y \left (x \right )} = 0\]