Consider the falling body problem where:
m(dv/dt) = W - B - CV. W is weight, B is boyancy and CV is drag force. W,B,C are constants, V is dependant on t of course V(t).
Consider an additional force acting upon the object that depends only on time symbolized by n(t). Assume the body is dropped from rest.
I must set up an IVP for V(t), t > or = 0.
Im a little confused how to approuch this with the extra n(t).
It also doesnt explicity say if n(t) is + or -, but i assume its -, do you agree?
m(dv/dt) = W - B - CV - n(t)
How shall i separate these variables and attempt to solve?
Thanks to all in help.