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 = 0.119879 (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 = 0.1 (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))
 

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