Finding equilibrium in matlab
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I am trying to find the equilibrium fo three different equtions.
clear all;
syms V(t) a b v1 v2 v3
time = [3.46
4.58
5.67
6.64
7.63
8.41
9.32
10.27
11.19
12.39
13.42
15.19
16.24
17.23
18.18
19.29
21.23
21.99
24.33
25.58
26.43
27.44
28.43
30.49
31.34
32.34
33
35.2
36.34
37.29
38.5
39.67
41.37
42.58
45.39
46.38
48.29
49.24
50.19
51.14
52.1
54
56.33
57.33
59.38];
Volume = [0.0158
0.0264
0.0326
0.0445
0.0646
0.0933
0.1454
0.2183
0.2842
0.4977
0.6033
0.8441
1.2163
1.447
2.3298
2.5342
3.0064
3.4044
3.2046
4.5241
4.3459
5.1374
5.5376
4.8946
5.066
6.1494
6.8548
5.9668
6.6945
6.6395
6.8971
7.2966
7.2268
6.8815
8.0993
7.2112
7.0694
7.4971
6.9974
6.7219
7.0523
7.1095
7.0694
8.0562
7.2268];
a1 = 0.4340;
b1 = 0.2158;
a2 = 0.3389;
b2 = 0.0489;
a3 = 0.2375;
b3 = 0.1179;
solB = solve ( a1*V(t)^(2/3) - b1*V(t) ==0, v1)
solL = solve (a2*V(t) - b2*V(t)^(2)==0, v2)
solG = solve(a3*V(t) - b3*V(t)*log(V(t)) ==0 , v3)
This what gives me:

5 个评论
Stephan
2020-11-10
How are v1...v3 related to the equations? Since they do not occur in the equations, how do you want to solve for them? Is there any relation like V=v1*v2*v3 or something like that?
Aseel Alamri
2020-11-10
Stephan
2020-11-10
You need to clarify first. You can not solve an equation for a variable which is not occuring in the equation. So tell us how are v1...v3 are related to the equations or to parts of them
Aseel Alamri
2020-11-10
Stephan
2020-11-10
Sorry, i can not follow. Please clarify what you want to do. What is the expected result? For what are the vectors for time and Volume? Your question is unclear to me.
回答(1 个)
Pranav Verma
2020-12-8
0 个投票
Hi Aseel,
Please refer to the below discussions on the similar lines of finding equilibrium points for a system of equations:
Thanks
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