\[ \boxed { \left ( 2\,y \left ( x \right ) +x+7 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) +2\,x+4=0} \]
Mathematica: cpu = 0.056507 (sec), leaf count = 65 \[ \text {Solve}\left [5 c_1+2 \log \left (\frac {4 \left (x^2+y(x)^2+4 y(x)+6 x+13\right )}{5 (x+3)^2}\right )+2 \tan ^{-1}\left (\frac {y(x)-2 (x+2)}{2 y(x)+x+7}\right )+4 \log (x+3)=0,y(x)\right ] \]
Maple: cpu = 0.047 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) =-2-\tan \left ( {\it RootOf} \left ( -{\it \_Z}+\ln \left ( \left ( \cos \left ( {\it \_Z} \right ) \right ) ^{-2} \right ) +2\,\ln \left ( x+3 \right ) +2\,{\it \_C1} \right ) \right ) \left ( x+3 \right ) \right \} \]