Solving two equations simultaneously then plotting

Hi, I have only ever used matlab at a beginner level and havent touched it in a while. What I am trying to do is to solve an equation for a specific variable. Once this is done, another variable from the equation needs to be adjusted, and then the equation needs to be solved again. I want to record these results in an array so that they can both be plotted against time so that I can see how the variables evolve. Simultaneously, I need to use these calculated values as part of a second seperate equation to find another two variables, both of which I would also like to plot. I am trying to write some pseudocode so that I can get my head around this. It is likely not a very complicated thing to code, however I am strugling and would appreciate any help and advice. Thanks in advance!

Answer 1

[Star Strider]

For the first part, see if somoething like this would work —

n = 1:10;
m = 1:5;
[N,M] = ndgrid(n,m);
f = @(x,n,m) m.*x.^2 - n;
for k1 = 1:numel(n)
    for k2 = 1:numel(m)
        rp(k1,k2) = fzero(@(x)f(x,n(k1),m(k2)), rand);                     % Calculate Positive Root
    end
end
rp

rp = 10×5

1.0000 0.7071 0.5774 0.5000 0.4472 1.4142 1.0000 0.8165 0.7071 0.6325 1.7321 1.2247 1.0000 0.8660 0.7746 -2.0000 -1.4142 1.1547 1.0000 0.8944 2.2361 1.5811 1.2910 1.1180 1.0000 2.4495 1.7321 1.4142 1.2247 1.0954 -2.6458 1.8708 1.5275 1.3229 1.1832 -2.8284 2.0000 1.6330 1.4142 1.2649 -3.0000 2.1213 1.7321 1.5000 1.3416 3.1623 2.2361 1.8257 1.5811 1.4142

Here, both variables are changed inside the nested loops, and the result saved to a matrix.

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