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(1 pt) Let w be the number of worms (in millions) and r the number of robins (in thousands) living on an island. Suppose w and r satisfy the following differential
equations which correspond to the slope field given below.
dw
dr
dt
=-r+wr.
de = w-wr,
r predator
w-1)
dr
เส้น”
(Click on the graph to make a larger image.)
w(1-7)
At 1 = 0 there 2.4 million worms and 1 thousand robins.
(a) Use the differential equations to calculute the derivatives of dwldt and drldt at =0.
lo =
==
(6) Use the initial values and your answer to part (a) to estimate the number of robins and worms at t = 0.1.
W: 0.1 =
-0.1 =
(C) Using the method of parts (a) and (b), estimate the number of robins and worms at t = 0.2 and t = 0.3.
W:-0.2 =
7:-0.2 =
W-03 =
7:03 =
r/predátor)
4
1
/
11
3
|
|
2
1
1
1
}
1
I
I
I
I
u (prey)
1
2
3
4
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