Each system of DE is a model for 2 species that either compete for the same resources or cooperate for mutual benefit.
$$\frac{dx}{dt}=0.12x-0.0006x^2+0.00001xy$$
$$\frac{dy}{dt}=0.08x+0.00004xy$$
some info:
$$\frac{dR}{dt}=kR$$
k is a positive constant
$$\frac{dW}{dt}=-rW$$
r is a positive constant
Predator-prey equations:
$$\frac{dR}{dt}=kR-aRW$$
$$\frac{dW}{dt}=-rW=bRW$$

Question

Each system of DE is a model for 2 species that either compete for the same resources or cooperate for mutual benefit. 
$$\frac{dx}{dt}=0.12x-0.0006x^2+0.00001xy$$
$$\frac{dy}{dt}=0.08x+0.00004xy$$
some info:
$$\frac{dR}{dt}=kR$$
 k is a positive constant
$$\frac{dW}{dt}=-rW$$
 r is a positive constant
Predator-prey equations:
$$\frac{dR}{dt}=kR-aRW$$
$$\frac{dW}{dt}=-rW=bRW$$

anonymous · Answer

@satellite73

anonymous · Answer

@satellite73

dumbcow · Answer

not sure what the R and W refer to.
are you trying to determine x(t) and y(t) ?

anonymous · Answer

I'm soo sorry
R is for rabbits (pray) R(t) at time t
and W is for wolves(predators) W(t) at time t

anonymous · Answer

"a" is another positive constant

anonymous · Answer

I have to decide whether the system describes competition or cooperation

anonymous · Answer

I'll see if I can find the solution manual online

anonymous · Answer

attachment

anonymous · Answer

Oh interesting. Well, I guess I have the answer...

turingtest · Answer

seems very simple now that I understand what they are asking lol

anonymous · Answer

I don't understand this book I'm using "Stewart's Calculus"

turingtest · Answer

I haven't read it
I was doing Leibniz in Spanish and I think someone stole it :/
I gotta go eat, see ya.

turingtest · Answer

sorry I meant "Leithold"

anonymous · Answer

see ya. What? First your wallet...and now your books. Sheesh!

turingtest · Answer

eh, Mexico...

anonymous · Answer

It's ok. happens here too :P