v'(t) = g - cv - epsilon*v^2 where v(0)=0. g is the acceleration due to gravity (a constant), c is the coefficient of friction, and epsilon is a small frictional force proportional to v^2. constants. c>0, epsilon>0.

(a) I need to find a formula for the terminal velocity
(b) I need to find the first order perturbation approximation x1(t)=k0(t)+k1(t)epsilon to the initial value problem for v(t).