ODE No. 225

\[ (4 y(x)+2 x+3) y'(x)-2 y(x)-x-1=0 \] Mathematica : cpu = 0.0250535 (sec), leaf count = 33

DSolve[-1 - x - 2*y[x] + (3 + 2*x + 4*y[x])*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {1}{4} (-2 x-3)+\frac {1}{8} \left (1+W\left (-e^{8 x-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.079 (sec), leaf count = 20

dsolve((4*y(x)+2*x+3)*diff(y(x),x)-2*y(x)-x-1 = 0,y(x))
 

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