3.225   ODE No. 225

\[ \boxed { \left ( 4\,y \left ( x \right ) +2\,x+3 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,y \left ( x \right ) -x-1=0} \]

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

Mathematica: cpu = 0.016002 (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 = 0.031 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) =-{\frac {x}{2}}+{\frac {{\it lambertW} \left ( {{\rm e}^{5}} \left ( {{\rm e}^{x}} \right ) ^{8}{\it \_C1} \right ) }{8}}-{\frac {5}{8}} \right \} \]