Finding equilibrium in matlab

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:

[Stephan]

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]

I was trying different things.

So what I need to do ,?

[Stephan]

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]

They are not related to the equations I just put them in there. Also with out them it gives me waring for each equation.

Here are my 3 equations:

Eq1 = a1*V(t)^(2/3) - b1*V(t) ==0

Eq2 = a2*V(t) - b2*V(t)^(2)==0

Eq3 = a3*V(t) - b3*V(t)*log(V(t)) ==0 What should I do?

[Stephan]

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.

Answer 1

[Pranav Verma]

Hi Aseel,

Please refer to the below discussions on the similar lines of finding equilibrium points for a system of equations:

https://www.mathworks.com/matlabcentral/answers/115809-finding-equilibrium-points-for-nonlinear-system

https://www.mathworks.com/products/connections/product_detail/cadence-allegro-pspice-slps.html

Thanks