2.224   ODE No. 224

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


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


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