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 = 0.0163141 (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 = 0.038 (sec), leaf count = 21

\[ \left \{ y \left ( x \right ) ={\frac {x}{2}}-{\frac {{\it lambertW} \left ( -{{\rm e}^{5}} \left ( {{\rm e}^{x}} \right ) ^{8}{\it \_C1} \right ) }{8}}+{\frac {5}{8}} \right \} \]