system of 1st and 2nd order differential equations ode45

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gorilla3
gorilla3 2017-10-16
编辑： gorilla3 2017-10-24
I have a system of two 1st order diff eq and one 2nd order diff eq. I want to solve them simultaneously using ode45 and subsequently sum the solutions. I'm having troubles formulating the code for the 2nd order equation. Could you help? The code is:
Fx=@(t,xqxcxm)[ (-xqxcxm(1)+G_q .*(q-q_b)./q_b)./tau_q ;
(-xqxcxm(2) +0.3+3.*tanh(Pa_co2./Pa_co2_b -1.1))./tau_co2 ;
%insert 2nd order diff: xm'' = (-tau2* xm' -xm)/tau1^2 ]
[t, xqxcxm]=ode45(F,[0 100], [0 0 0]);
xq= xqxcxm(:,1);
xc= xqxcxm(:,2);
xm= xqxcxm(:,3);
x=xm+ xc -xq;

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回答（1 个）

Josh Meyer
Josh Meyer 2017-10-16
The documentation explains how to express higher-order equations as first-order equations: Higher-Order ODEs

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