\[ \boxed { \left ( 4\,y \left ( x \right ) -3\,x-5 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -3\,y \left ( x \right ) +7\,x+2=0} \]
Mathematica: cpu = 0.010501 (sec), leaf count = 107 \[ \left \{\left \{y(x)\to \frac {1}{4} (3 x+5)-\frac {1}{2} i \sqrt {-4 c_1-2 \left (-\frac {7 x^2}{2}-2 x\right )-\frac {1}{4} (3 x+5)^2}\right \},\left \{y(x)\to \frac {1}{4} (3 x+5)+\frac {1}{2} i \sqrt {-4 c_1-2 \left (-\frac {7 x^2}{2}-2 x\right )-\frac {1}{4} (3 x+5)^2}\right \}\right \} \]
Maple: cpu = 0.109 (sec), leaf count = 38 \[ \left \{ y \left ( x \right ) ={\frac {29}{19}}-{\frac {1}{38\,{\it \_C1 }} \left ( -{\frac { \left ( 57\,x-21 \right ) {\it \_C1}}{2}}+{\frac {1 }{2}\sqrt {-19\, \left ( 19\,x-7 \right ) ^{2}{{\it \_C1}}^{2}+4}} \right ) } \right \} \]