Hey guys, I could use some help with the following.
Question 1:
I have these equations:
(1) D(t) = C(t) + A(t)
(2) C(t) = cY(t)
(3) Y'(t) = λ(D(t) − Y(t))
I need to make a differential equation using those 3 in function of λ, c and A(t). I am wondering how to get rid of the Y(t).
I replace them so as to obtain this : Y'(t) = λ(cY(t) - A(t) - Y(t))
After that, I'm at a loss of how to eliminate the Y(t)'s so that only c, λ and A(t) remain.
Help is appreciated, thanks.
Question 1:
I have these equations:
(1) D(t) = C(t) + A(t)
(2) C(t) = cY(t)
(3) Y'(t) = λ(D(t) − Y(t))
I need to make a differential equation using those 3 in function of λ, c and A(t). I am wondering how to get rid of the Y(t).
I replace them so as to obtain this : Y'(t) = λ(cY(t) - A(t) - Y(t))
After that, I'm at a loss of how to eliminate the Y(t)'s so that only c, λ and A(t) remain.
Help is appreciated, thanks.