Hey guys, I am currently trying to plot the graph of the equation
N(t+1) = Lambda * N(t)
Where Lambda is a constant.
It is the basic unlimitted growth equation, and ideally i would like to plot it for different values of N(0) and different Lambda
Only problem is, I have no idea how I plot this, do I need to solve it? if so how do i solve such an equation, i seem to remember somewhere that the solution would be N(t) = N(0) exp lambda*t
is that correct?
I am using the computer program Autograph, which lets me enter any equation (apart from ones like this :P) Hence I guess i need to solve it and plot the solution? Im kinda confusing myself.
Many thanks for any help!
So if that is my solution, why is it t+1 and not simply t?
As say my N(0) is 1000 and lambda is 5 this equation would give when t=0
is . which = 5000, so then N(0) would be 5000? but i know that N(0) is 1000, so that can't be right?
Isnt the solution
. This would then give me the correct answer for N(0)