2.224   ODE No. 224

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ (2 y(x)-6 x) y'(x)-y(x)+3 x+2=0 \] Mathematica : cpu = 0.0343946 (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 = 0.121 (sec), leaf count = 35

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