2.225   ODE No. 225

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

\[ (4 y(x)+2 x+3) y'(x)-2 y(x)-x-1=0 \] Mathematica : cpu = 0.0733567 (sec), leaf count = 33

\[\left \{\left \{y(x)\to \frac {1}{4} (-2 x-3)+\frac {1}{8} \left (1+W\left (-e^{8 x-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.108 (sec), leaf count = 20

\[\left \{y \left (x \right ) = -\frac {x}{2}+\frac {\LambertW \left (c_{1} {\mathrm e}^{5} {\mathrm e}^{8 x}\right )}{8}-\frac {5}{8}\right \}\]