\[ (12 y(x)-5 x-8) y'(x)-5 y(x)+2 x+3=0 \] ✓ Mathematica : cpu = 0.0247762 (sec), leaf count = 121
DSolve[3 + 2*x - 5*y[x] + (-8 - 5*x + 12*y[x])*Derivative[1][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{12} (5 x+8)-\frac {i \sqrt {-24 \left (-\frac {x^2}{12}-\frac {x}{4}\right )-\frac {1}{12} (5 x+8)^2-12 c_1}}{2 \sqrt {3}}\right \},\left \{y(x)\to \frac {1}{12} (5 x+8)+\frac {i \sqrt {-24 \left (-\frac {x^2}{12}-\frac {x}{4}\right )-\frac {1}{12} (5 x+8)^2-12 c_1}}{2 \sqrt {3}}\right \}\right \}\] ✓ Maple : cpu = 0.164 (sec), leaf count = 32
dsolve((12*y(x)-5*x-8)*diff(y(x),x)-5*y(x)+2*x+3 = 0,y(x))
\[y \left (x \right ) = \frac {-\sqrt {\left (x +4\right )^{2} c_{1}^{2}+24}+\left (5 x +8\right ) c_{1}}{12 c_{1}}\]