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 = 0.0172606 (sec), leaf count = 33

\[\left \{\left \{y(x)\to \frac {1}{8} \left (W\left (-e^{c_1+8 x-1}\right )+1\right )+\frac {1}{4} (-2 x-3)\right \}\right \}\] Maple : cpu = 0.056 (sec), leaf count = 20

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