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 = 0.0174125 (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 = 0.045 (sec), leaf count = 35

\[ \left \{ y \left ( x \right ) ={\frac {1}{5}{{\rm e}^{-{\it lambertW} \left ( -{\frac {{{\rm e}^{-1}}}{2}{{\rm e}^{{\frac {25\,x}{4}}}}{{\rm e}^{-{\frac {25\,{\it \_C1}}{4}}}}} \right ) +{\frac {25\,x}{4}}-1-{\frac {25\,{\it \_C1}}{4}}}}}+3\,x-{\frac {2}{5}} \right \} \]