\[ \boxed { \left ( 12\,y \left ( x \right ) -5\,x-8 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -5\,y \left ( x \right ) +2\,x+3=0} \]
Mathematica: cpu = 0.010501 (sec), leaf count = 121 \[ \left \{\left \{y(x)\to \frac {1}{12} (5 x+8)-\frac {i \sqrt {-12 c_1-24 \left (-\frac {x^2}{12}-\frac {x}{4}\right )-\frac {1}{12} (5 x+8)^2}}{2 \sqrt {3}}\right \},\left \{y(x)\to \frac {1}{12} (5 x+8)+\frac {i \sqrt {-12 c_1-24 \left (-\frac {x^2}{12}-\frac {x}{4}\right )-\frac {1}{12} (5 x+8)^2}}{2 \sqrt {3}}\right \}\right \} \]
Maple: cpu = 0.125 (sec), leaf count = 33 \[ \left \{ y \left ( x \right ) =-1-{\frac {1}{{\it \_C1}} \left ( -{\frac { \left ( 5\,x+20 \right ) {\it \_C1}}{12}}+{\frac {1}{12}\sqrt { \left ( x+4 \right ) ^{2}{{\it \_C1}}^{2}+24}} \right ) } \right \} \]