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Modelling Predator / Prey Population with Differentials
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Expression 32: "R" Subscript, 12 , Baseline equals "r" left parenthesis, "R" Subscript, 11 , Baseline , "P" Subscript, 11 , Baseline , right parenthesis equals 1450.3 5 0 9 6 0 3 8
R
1
2
=
r
R
1
1
,
P
1
1
equals
=
1450.3 5 0 9 6 0 3 8
1
4
5
0
.
3
5
0
9
6
0
3
8
32
Expression 33: "P" Subscript, 12 , Baseline equals "p" left parenthesis, "R" Subscript, 11 , Baseline , "P" Subscript, 11 , Baseline , right parenthesis equals 181.3 8 0 6 0 5 2 4 1
P
1
2
=
p
R
1
1
,
P
1
1
equals
=
181.3 8 0 6 0 5 2 4 1
1
8
1
.
3
8
0
6
0
5
2
4
1
33
Expression 34: "R" Subscript, 13 , Baseline equals "r" left parenthesis, "R" Subscript, 12 , Baseline , "P" Subscript, 12 , Baseline , right parenthesis equals 1214.2 9 0 0 8 2 4 4
R
1
3
=
r
R
1
2
,
P
1
2
equals
=
1214.2 9 0 0 8 2 4 4
1
2
1
4
.
2
9
0
0
8
2
4
4
34
Expression 35: "P" Subscript, 13 , Baseline equals "p" left parenthesis, "R" Subscript, 12 , Baseline , "P" Subscript, 12 , Baseline , right parenthesis equals 189.5 4 9 0 9 8 2 1 8
P
1
3
=
p
R
1
2
,
P
1
2
equals
=
189.5 4 9 0 9 8 2 1 8
1
8
9
.
5
4
9
0
9
8
2
1
8
35
Expression 36: "R" Subscript, 14 , Baseline equals "r" left parenthesis, "R" Subscript, 13 , Baseline , "P" Subscript, 13 , Baseline , right parenthesis equals 996.8 1 2 9 1 8 7 2 5
R
1
4
=
r
R
1
3
,
P
1
3
equals
=
996.8 1 2 9 1 8 7 2 5
9
9
6
.
8
1
2
9
1
8
7
2
5
36
Expression 37: "P" Subscript, 14 , Baseline equals "p" left parenthesis, "R" Subscript, 13 , Baseline , "P" Subscript, 13 , Baseline , right parenthesis equals 193.6 1 0 9 4 7 4 0 6
P
1
4
=
p
R
1
3
,
P
1
3
equals
=
193.6 1 0 9 4 7 4 0 6
1
9
3
.
6
1
0
9
4
7
4
0
6
37
Expression 38: "R" Subscript, 15 , Baseline equals "r" left parenthesis, "R" Subscript, 14 , Baseline , "P" Subscript, 14 , Baseline , right parenthesis equals 810.1 8 7 7 1 5 3 0 8
R
1
5
=
r
R
1
4
,
P
1
4
equals
=
810.1 8 7 7 1 5 3 0 8
8
1
0
.
1
8
7
7
1
5
3
0
8
38
Expression 39: "P" Subscript, 15 , Baseline equals "p" left parenthesis, "R" Subscript, 14 , Baseline , "P" Subscript, 14 , Baseline , right parenthesis equals 193.5 4 9 2 4 2 0 2 4
P
1
5
=
p
R
1
4
,
P
1
4
equals
=
193.5 4 9 2 4 2 0 2 4
1
9
3
.
5
4
9
2
4
2
0
2
4
39
Expression 40: "R" Subscript, 16 , Baseline equals "r" left parenthesis, "R" Subscript, 15 , Baseline , "P" Subscript, 15 , Baseline , right parenthesis equals 658.6 0 2 8 2 1 9 8
R
1
6
=
r
R
1
5
,
P
1
5
equals
=
658.6 0 2 8 2 1 9 8
6
5
8
.
6
0
2
8
2
1
9
8
40
Expression 41: "P" Subscript, 16 , Baseline equals "p" left parenthesis, "R" Subscript, 15 , Baseline , "P" Subscript, 15 , Baseline , right parenthesis equals 189.8 7 5 4 3 9 6 4 1
P
1
6
=
p
R
1
5
,
P
1
5
equals
=
189.8 7 5 4 3 9 6 4 1
1
8
9
.
8
7
5
4
3
9
6
4
1
41
Expression 42: "R" Subscript, 17 , Baseline equals "r" left parenthesis, "R" Subscript, 16 , Baseline , "P" Subscript, 16 , Baseline , right parenthesis
R
1
7
=
r
R
1
6
,
P
1
6
equals
=
540.2 1 8 3 8 5 6 3 2
5
4
0
.
2
1
8
3
8
5
6
3
2
42
Expression 43: "P" Subscript, 17 , Baseline equals "p" left parenthesis, "R" Subscript, 16 , Baseline , "P" Subscript, 16 , Baseline , right parenthesis
P
1
7
=
p
R
1
6
,
P
1
6
equals
=
183.3 9 3 1 4 5 7 1 4
1
8
3
.
3
9
3
1
4
5
7
1
4
43
Hidden Label: left parenthesis, "R" Subscript, 0 , Baseline , 10 "P" Subscript, 0 , Baseline , right parenthesis
R
0
,
1
0
P
0
Label
equals
=
left parenthesis, 1610 , 590 , right parenthesis
1
6
1
0
,
5
9
0
44
Hidden Label: left parenthesis, "R" Subscript, 1 , Baseline , 10 "P" Subscript, 1 , Baseline , right parenthesis
R
1
,
1
0
P
1
Label
equals
=
left parenthesis, 1742.0 2 , 625.9 9 , right parenthesis
1
7
4
2
.
0
2
,
6
2
5
.
9
9
45
Hidden Label: left parenthesis, "R" Subscript, 2 , Baseline , 10 "P" Subscript, 2 , Baseline , right parenthesis
R
2
,
1
0
P
2
Label
equals
=
left parenthesis, 1872.3 2 6 5 8 , 672.4 3 9 7 1 , right parenthesis
1
8
7
2
.
3
2
6
5
8
,
6
7
2
.
4
3
9
7
1
46
Hidden Label: left parenthesis, "R" Subscript, 3 , Baseline , 10 "P" Subscript, 3 , Baseline , right parenthesis
R
3
,
1
0
P
3
Label
equals
=
left parenthesis, 1994.9 8 6 5 5 , 731.0 9 8 4 1 3 , right parenthesis
1
9
9
4
.
9
8
6
5
5
,
7
3
1
.
0
9
8
4
1
3
47
Hidden Label: left parenthesis, "R" Subscript, 4 , Baseline , 10 "P" Subscript, 4 , Baseline , right parenthesis
R
4
,
1
0
P
4
Label
equals
=
left parenthesis, 2102.2 7 7 5 6 , 803.8 4 1 7 2 2 , right parenthesis
2
1
0
2
.
2
7
7
5
6
,
8
0
3
.
8
4
1
7
2
2
48
Hidden Label: left parenthesis, "R" Subscript, 5 , Baseline , 10 "P" Subscript, 5 , Baseline , right parenthesis
R
5
,
1
0
P
5
Label
equals
=
left parenthesis, 2184.7 5 3 3 9 , 892.4 4 7 3 9 1 , right parenthesis
2
1
8
4
.
7
5
3
3
9
,
8
9
2
.
4
4
7
3
9
1
49
Hidden Label: left parenthesis, "R" Subscript, 6 , Baseline , 10 "P" Subscript, 6 , Baseline , right parenthesis
R
6
,
1
0
P
6
Label
equals
=
left parenthesis, 2231.7 4 8 5 7 , 998.1 8 0 3 9 8 , right parenthesis
2
2
3
1
.
7
4
8
5
7
,
9
9
8
.
1
8
0
3
9
8
50
Hidden Label: left parenthesis, "R" Subscript, 7 , Baseline , 10 "P" Subscript, 7 , Baseline , right parenthesis
R
7
,
1
0
P
7
Label
equals
=
left parenthesis, 2232.5 6 0 7 5 , 1121.1 3 1 1 3 , right parenthesis
2
2
3
2
.
5
6
0
7
5
,
1
1
2
1
.
1
3
1
1
3
51
Hidden Label: left parenthesis, "R" Subscript, 8 , Baseline , 10 "P" Subscript, 8 , Baseline , right parenthesis
R
8
,
1
0
P
8
Label
equals
=
left parenthesis, 2178.4 7 4 2 3 , 1259.3 1 7 3 5 , right parenthesis
2
1
7
8
.
4
7
4
2
3
,
1
2
5
9
.
3
1
7
3
5
52
Hidden Label: left parenthesis, "R" Subscript, 9 , Baseline , 10 "P" Subscript, 9 , Baseline , right parenthesis
R
9
,
1
0
P
9
Label
equals
=
left parenthesis, 2065.4 9 1 , 1407.7 2 4 6 5 , right parenthesis
2
0
6
5
.
4
9
1
,
1
4
0
7
.
7
2
4
6
5
53
Hidden Label: left parenthesis, "R" Subscript, 10 , Baseline , 10 "P" Subscript, 10 , Baseline , right parenthesis
R
1
0
,
1
0
P
1
0
Label
equals
=
left parenthesis, 1897.0 6 0 6 8 , 1557.7 1 6 4 5 , right parenthesis
1
8
9
7
.
0
6
0
6
8
,
1
5
5
7
.
7
1
6
4
5
54
Hidden Label: left parenthesis, "R" Subscript, 11 , Baseline , 10 "P" Subscript, 11 , Baseline , right parenthesis
R
1
1
,
1
0
P
1
1
Label
equals
=
left parenthesis, 1685.4 5 6 2 9 , 1697.4 5 3 0 6 , right parenthesis
1
6
8
5
.
4
5
6
2
9
,
1
6
9
7
.
4
5
3
0
6
55
Hidden Label: left parenthesis, "R" Subscript, 12 , Baseline , 10 "P" Subscript, 12 , Baseline , right parenthesis
R
1
2
,
1
0
P
1
2
Label
equals
=
left parenthesis, 1450.3 5 0 9 6 , 1813.8 0 6 0 5 , right parenthesis
1
4
5
0
.
3
5
0
9
6
,
1
8
1
3
.
8
0
6
0
5
56
Hidden Label: left parenthesis, "R" Subscript, 13 , Baseline , 10 "P" Subscript, 13 , Baseline , right parenthesis
R
1
3
,
1
0
P
1
3
Label
equals
=
left parenthesis, 1214.2 9 0 0 8 , 1895.4 9 0 9 8 , right parenthesis
1
2
1
4
.
2
9
0
0
8
,
1
8
9
5
.
4
9
0
9
8
57
Hidden Label: left parenthesis, "R" Subscript, 14 , Baseline , 10 "P" Subscript, 14 , Baseline , right parenthesis
R
1
4
,
1
0
P
1
4
Label
equals
=
left parenthesis, 996.8 1 2 9 1 9 , 1936.1 0 9 4 7 , right parenthesis
9
9
6
.
8
1
2
9
1
9
,
1
9
3
6
.
1
0
9
4
7
58
Hidden Label: left parenthesis, "R" Subscript, 15 , Baseline , 10 "P" Subscript, 15 , Baseline , right parenthesis
R
1
5
,
1
0
P
1
5
Label
equals
=
left parenthesis, 810.1 8 7 7 1 5 , 1935.4 9 2 4 2 , right parenthesis
8
1
0
.
1
8
7
7
1
5
,
1
9
3
5
.
4
9
2
4
2
59
Hidden Label: left parenthesis, "R" Subscript, 16 , Baseline , 10 "P" Subscript, 16 , Baseline , right parenthesis
R
1
6
,
1
0
P
1
6
Label
equals
=
left parenthesis, 658.6 0 2 8 2 2 , 1898.7 5 4 4 , right parenthesis
6
5
8
.
6
0
2
8
2
2
,
1
8
9
8
.
7
5
4
4
60
Hidden Label: left parenthesis, "R" Subscript, 17 , Baseline , 10 "P" Subscript, 17 , Baseline , right parenthesis
R
1
7
,
1
0
P
1
7
Label
equals
=
left parenthesis, 540.2 1 8 3 8 6 , 1833.9 3 1 4 6 , right parenthesis
5
4
0
.
2
1
8
3
8
6
,
1
8
3
3
.
9
3
1
4
6
61
Expression 62: "x" equals 3500 left brace, 0 less than "y" less than 3500 , right brace
x
=
3
5
0
0
0
<
y
<
3
5
0
0
62
Expression 63: "y" equals 3500 left brace, 0 less than "x" less than 3500 , right brace
y
=
3
5
0
0
0
<
x
<
3
5
0
0
63
Hidden Label: left parenthesis, 1000 , 10 times 100 , right parenthesis
1
0
0
0
,
1
0
·
1
0
0
Label
equals
=
left parenthesis, 1000 , 1000 , right parenthesis
1
0
0
0
,
1
0
0
0
64
65
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powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
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0
.
.
equals
=
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