Without solving the equation, show that the constant functions P(t)=0 and P(t)=K for all t>0 are solutions for the logistic equation
(dP/dt)=rP(1-(P/500,000))
K=500,000
How do I do this? Im so lost, thanks for any responses.
-ali
If , then:Originally Posted by wankel
,
so the LHS of the ODE is zero, and is a root of the
RHS and so the RHS is also zero, hence is a solution of
the ODE.
As is also a root of the RHS and the derivative of
is also zero this last is also a solution of the ODE.
RonL