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how can i solve this differential equation through MATLAB?

Asked by Jeongwoo Park on 7 Jun 2018
Latest activity Answered by Torsten
on 7 Jun 2018
through non-classical damping system's modal summation analysis, i get
Zi'(t) - Di*Zi(t) = (Si)T * F0 * r(t)
Zi'(t) is first differential of function Zi(t), (Si)T is transpose matrix of Si n=7, i=1,2,....,2n Zi(t) is the function i want to get, Di is 14x14 diagonal matrix, Si is 14x14 matrix , F0 is 14x1 matrix and r(t) is a known function Di and Si are complex matrixes. In this case, how can i get Zi(t) through MATLAB? Let me know if you need more informations. Sorry for my poor english, Thank you.

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2 Answers

Answer by Varun Garg on 7 Jun 2018

Hi. I am not clear if you are stuck with this differential equation or you don't have much idea as to how to work with differential equations in MATLAB.
General workflow to work with differential equations in MATLAB is as follows:
Defining variables
syms a y(t)
Declaring your function
eqn = diff(y,t) == a*y;
Applying dsolve on your equation
dsolve(eqn)
Documentation for differential equations can be found here .
Documentation for dsolve can be found here .
In case you still have confusion with how to work with matrices in your problem, this documentation should do the trick.

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Answer by Torsten
on 7 Jun 2018

Use one of the integrators from MATLAB's ODE suite, e.g. ODE45.
Best wishes
Torsten.

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