How to solve unknown number of equations

Let say I do not know the number of equation to be formed.

Let say I need n, the number of equations,

where n may vary from solving each time.

for i=1:n
    syms vi vi+1 v-1
    eqn i = (vi+1)^2+(vi-1)^2==20
end

So I get my n number of equation. However that won't work in matlab. Kindly suggest how to do the same.

Answer 1

[Guru Mohanty]

Hi, I understand you are trying to create number of equations. You can do this using syms. Here is a sample code.

clc; 
clear all; 
n=input("Enter Number of Equations to be formed: "); 
syms v [1,n] 
for i=1:n 
    eqn(i) = (v(i)+1)^2+(v(i)-1)^2==20; 
    disp(eqn(i)); 
end 

[Yagna V]

thank you very much!

could you help me in solving the same equations with unknown variables

Answer 2

[Guru Mohanty]

Hi Yagna, You can solve the same equations using solve function in MATLAB.

Here is a sample code for it.

clc; 
clear all; 
% Forming Equation
n=2;
syms v [1,n] 
for i=1:n 
    eq(i) = (v(i)+1)^2+(v(i)-1)^2==20; 
    disp(eq(i)); 
end 
% Solving Equation
[v1_sol,v2_sol]= solve(eq,v);
disp(v1_sol);
disp(v2_sol);