\[ y'(x)=x^2 \sqrt {x^2+3 y(x)}+\sqrt {x^2+3 y(x)}+x^3 \sqrt {x^2+3 y(x)}-\frac {2 x}{3} \] ✓ Mathematica : cpu = 0.353813 (sec), leaf count = 65
\[\left \{\left \{y(x)\to \frac {1}{192} \left (9 x^8+24 x^7+16 x^6+72 x^5+96 x^4-72 c_1 x^4-96 c_1 x^3+80 x^2-288 c_1 x+144 c_1{}^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.429 (sec), leaf count = 30
\[\left \{\frac {3 x^{4}}{8}+\frac {x^{3}}{2}+c_{1}+\frac {3 x}{2}-\sqrt {x^{2}+3 y \left (x \right )} = 0\right \}\]