ODE No. 226

\[ (4 y(x)-2 x-3) y'(x)+2 y(x)-x-1=0 \]

✓ Mathematica : cpu = 0.0222608 (sec), leaf count = 35

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 = 0.089 (sec), leaf count = 21

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

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