\[ \boxed { \left ( 2\,y \left ( x \right ) -6\,x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) +3\,x+2=0} \]
Mathematica: cpu = 0.017502 (sec), leaf count = 29 \[ \left \{\left \{y(x)\to 3 x-\frac {2}{5} \left (W\left (-e^{c_1+\frac {25 x}{4}-1}\right )+1\right )\right \}\right \} \]
Maple: cpu = 0.047 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) ={\frac {1}{5}{{\rm e}^{-{\it lambertW} \left ( -{\frac {{{\rm e}^{-1}}}{2}{{\rm e}^{{\frac {25\,x}{4}}}}{ {\rm e}^{-{\frac {25\,{\it \_C1}}{4}}}}} \right ) +{\frac {25\,x}{4}}-1 -{\frac {25\,{\it \_C1}}{4}}}}}+3\,x-{\frac {2}{5}} \right \} \]