Solving System differential equation

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MoHizzel
MoHizzel 2015-4-13
评论： Torsten 2015-4-14
Hi, I am new to matlab. I have a very simple question. How can I solve the following differential equation dx/dt = [1,2;3,4]*[x1;x2]+[0;1]?
Thank you very much.
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MoHizzel
MoHizzel 2015-4-13
How can I modify this so the answer is a general equation of x in terms of t? So something like x(t)=5e^t[1;1]

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Sadra
Sadra 2015-4-13
编辑：Sadra 2015-4-13
you could solve it with ODE45
your function is:
function dy = my_ODE(t,y)
dy=zeros(2,1);
dy=[1 2;3 4]*[y(1);y(2)]+[0;1];
end
and you should solve it with ODE45 with this script :
Time=2; %2seconds
InitialValues=[0;0];
[t,y]=ode45(@my_ODE,[0 Time],InitialValues)
plot(t,y(1),'-',t,y(2),'-.')
legend('y(1)','y(2)')
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Star Strider
Star Strider 2015-4-13
Also see the documentation for the matrix exponential, expm.
Sadra
Sadra 2015-4-14
you should write your equations in state space ( Y_dot=f(x,t) ) form.
for extra details and exapmle see the documaentation for ODE

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