2.226   ODE No. 226

  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 = 0.0351428 (sec), leaf count = 35

\[\left \{\left \{y(x)\to \frac {1}{4} (2 x+3)+\frac {1}{8} \left (-1-W\left (-e^{8 x-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.102 (sec), leaf count = 21

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