How to solve ODE's in Matrix Form?

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Benjamin Watson 2019-2-26

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https://ww2.mathworks.cn/matlabcentral/answers/447174-how-to-solve-ode-s-in-matrix-form

评论： Benjamin Watson 2019-2-27

Hi,

I have a set of equations like this and am clueless on how to solve on MATLAB and hope someone can help. The intial conditions are P0(0) = 1; P1(0) = 0.

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James Tursa 2019-2-26

Please post what you have tried and what problems you are having with your code and we can help.

Benjamin Watson 2019-2-27

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Hi James Tursa,

I've finally got it working using the dsolve function but is there anyway for it to solve in symbolically as I have Lam values and Mu values which I've had to input a numerical value for but is there anyway to keep these in sysmbolic form. Also is there anyway to get an output which limits t to infinty? Thanks Ben

syms P0(t) P1(t)
Lam = 2000
Mu = 1000
eqns = [diff(P0,t) == -Lam*P0+Mu*P1,...
    diff(P1,t) == Lam*P0-Mu*P1];
sol = dsolve(eqns, P0(0) == 1, P1(0) == 0)
solP0(t)= sol.P0
solP1(t)= sol.P1