I don't know about the two missing equations because that is all the information I have given in the question so unless I do
[FONT=arial]ωA-αB+βD = 0
[FONT=arial]βC-αA-ωB = 0
[FONT=arial]ωC+γD-δB = 0
[FONT=arial]γC-ωD-δA = 0
because sin AND cos can never = 0 so that makes sense but now how do I...
[FONT=arial]We've been asked to solve this system of equations
[FONT=arial]dW/dt = = αW−βV
[FONT=arial]dV dt = −γV+δW
[FONT=arial]by proposing that
[FONT=arial]W (t) = A sin(ωt) + B cos(ωt)
[FONT=arial]V (t) = C sin(ωt) + D cos(ωt).
[FONT=arial]so I've differentiated both W(t) and V(t) to...
I've got a bit of progress but can somebody please help:
[FONT=arial]We've been asked to solve this system of equations
[FONT=arial]dW/dt = = αW−βV
[FONT=arial]dV dt = −γV+δW
[FONT=arial]by proposing that
[FONT=arial]W (t) = A sin(ωt) + B cos(ωt)
[FONT=arial]V (t) = C sin(ωt) + D cos(ωt)...
Hi,
I've been given the equation
dP/dt = c log (P/M) P and I've solved it to find p(t) = M*exp(Aexp(c*t)) and I need to differentiate back in order to get it in the form of the original equation but I'm finding it extremely tricky and messy to achieve and it's really bugging me so I was...
[FONT=arial]'ve been given the Lotka-Volterra system of differential equations
dW/dt= αW−βV,
dV/dt= −γV+δW
and the question is as follows:
a) Suppose we have two species interacting on the same environment. After observations we find that the size of their population obey the above set of...