# how can i solve this differential equation through MATLAB?

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Jeongwoo Park on 7 Jun 2018
Answered: 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.

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)
eqn = diff(y,t) == a*y;
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.

Torsten on 7 Jun 2018
Use one of the integrators from MATLAB's ODE suite, e.g. ODE45.
Best wishes
Torsten.