\[ y'(x)=\frac {1}{3} x \left (3 \sqrt {x^2+3 y(x)}-2\right ) \] ✓ Mathematica : cpu = 0.171358 (sec), leaf count = 38
DSolve[Derivative[1][y][x] == (x*(-2 + 3*Sqrt[x^2 + 3*y[x]]))/3,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{432} \left (81 x^4-72 x^2-486 c_1 x^2+16+729 c_1{}^2-216 c_1\right )\right \}\right \}\] ✓ Maple : cpu = 0.308 (sec), leaf count = 23
dsolve(diff(y(x),x) = 1/3*x*(-2+3*(x^2+3*y(x))^(1/2)),y(x))
\[c_{1}+\frac {3 x^{2}}{4}+\frac {2}{3}-\sqrt {x^{2}+3 y \left (x \right )} = 0\]