\[ y'(x)=x^2 \sqrt {a^2 x^2+2 a b x+4 a y(x)+b^2-4 c}-\frac {a x}{2}-\frac {b}{2} \] ✓ Mathematica : cpu = 0.395165 (sec), leaf count = 61
\[\left \{\left \{y(x)\to \frac {-24 a^2 c_1 x^3+36 a^2 c_1^2+4 a^2 x^6-9 a^2 x^2-18 a b x-9 b^2+36 c}{36 a}\right \}\right \}\] ✓ Maple : cpu = 0.234 (sec), leaf count = 39
\[ \left \{ {\it \_C1}+{\frac {2\,a{x}^{3}}{3}}-\sqrt {{a}^{2}{x}^{2}+2\,abx+{b}^{2}+4\,ay \left ( x \right ) -4\,c}=0 \right \} \]