\[ y'(x)=\frac {x^6}{27}+\frac {1}{3} x^4 y(x)+x^2 y(x)^2+y(x)^3-\frac {2 x}{3} \] ✓ Mathematica : cpu = 0.112429 (sec), leaf count = 47
\[\left \{\left \{y(x)\to -\frac {x^2}{3}-\frac {1}{\sqrt {-2 x+c_1}}\right \},\left \{y(x)\to -\frac {x^2}{3}+\frac {1}{\sqrt {-2 x+c_1}}\right \}\right \}\] ✓ Maple : cpu = 0.036 (sec), leaf count = 59
\[\left \{y \left (x \right ) = -\frac {\sqrt {-54 c_{1}-2 x}\, x^{2}-3}{3 \sqrt {-54 c_{1}-2 x}}, y \left (x \right ) = -\frac {\sqrt {-54 c_{1}-2 x}\, x^{2}+3}{3 \sqrt {-54 c_{1}-2 x}}\right \}\]