ODE No. 224

\[ (2 y(x)-6 x) y'(x)-y(x)+3 x+2=0 \] Mathematica : cpu = 0.0261774 (sec), leaf count = 29

DSolve[2 + 3*x - y[x] + (-6*x + 2*y[x])*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to 3 x-\frac {2}{5} \left (1+W\left (-e^{\frac {25 x}{4}-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.107 (sec), leaf count = 35

dsolve((2*y(x)-6*x)*diff(y(x),x)-y(x)+3*x+2 = 0,y(x))
 

\[y \left (x \right ) = \frac {{\mathrm e}^{-\LambertW \left (-\frac {{\mathrm e}^{\frac {25 x}{4}} {\mathrm e}^{-1} {\mathrm e}^{-\frac {25 c_{1}}{4}}}{2}\right )+\frac {25 x}{4}-1-\frac {25 c_{1}}{4}}}{5}+3 x -\frac {2}{5}\]