Force due to drag at low velocities, is equal to some constant times negative velocity
$$F_{d}=-c_{1}V$$
The viscous damping coefficient equals decay constant divided by 2 times mass
$$\gamma = \frac{c_{2}}{2m}$$
So, is $c_{1}$ the same as $c_{2}$?
How is the drag force related to the viscous damping coefficient, what equation is there to relate them? I think the relationship is linear but I'm not certain.
For context, this is for a mass-spring system inside a beaker of water being damped by the friction of the water.