ODE No. 721

\[ y'(x)=\frac {1}{36} \sqrt {x} \left (18 x^{3/2}+x^6-12 x^3 y(x)+36 y(x)^2\right ) \]

✓ Mathematica : cpu = 0.105728 (sec), leaf count = 27

DSolve[Derivative[1][y][x] == (Sqrt[x]*(18*x^(3/2) + x^6 - 12*x^3*y[x] + 36*y[x]^2))/36,y[x],x]

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

✓ Maple : cpu = 0.053 (sec), leaf count = 19

dsolve(diff(y(x),x) = 1/36*(18*x^(3/2)+36*y(x)^2-12*x^3*y(x)+x^6)*x^(1/2),y(x))

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