Hi, I have a quick question to do with Differential equations.
So i have done the first part of my question no problems but for this next part it says:
Show x(t) is always non-decreasing for t=> 0, without solving the equation.
dx/dt = rx(1-x), where r is just a constant (rate of maximum growth in this case).
I get that it must have something to do with the derivative always being positive but i'm just not sure how I can show this when there are no t variables in the equation.
ALSO, I have another question with finding the general solution to this equation. I have gotten it as far as:
And I am positive it is correct to this point, however I just can't seem to finish it off and get it in the form x(t)= ......
Thanks for any help!!!