Homogen Differential Equations Solving (update:27-06-07)
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[Description:]
In this application is descriptioned homogen-differential equations generally solutions with matlab symbolic tool's.
Generally homogen-differential equation's form is (where R=[d/dx] ) sum {i=1:n} [C_(i)*R^{i}].y=0
Here, firstly sub function-[regsolution.m] solving differential equation's polynomial form and determine all roots order-degree, secondly it is sub function-[homsolution.m] analysis all roots be complex or real value's with order-degree and outputs differential equations generally solution of regular format. This [homsolution.m] sub-mosule's (func) be possible matrix format.
I wish, this work will be usefuly of several mathematical areas.
[Example:]
homsolution(R^4+R^3+2*R^2-R+3) <---|
%
%R^4+R^3+2*R^2-R+3
%
%+exp^(-1+1.4142ix).(C4)+exp^(-1-1.4142ix).(C3)+exp^(0.5+0.86603ix).(C2)+exp^(0.5-0.86603ix).(C1)
% 0.5000 - 0.8660i 1.0000
% 0.5000 + 0.8660i 1.0000
% -1.0000 - 1.4142i 1.0000
% -1.0000 + 1.4142i 1.0000
Citation pour cette source
Ali OZGUL (2024). Homogen Differential Equations Solving (update:27-06-07) (https://www.mathworks.com/matlabcentral/fileexchange/15439-homogen-differential-equations-solving-update-27-06-07), MATLAB Central File Exchange. Récupéré le .
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Inspiré par : Regular solving technique as sub-function (update:24-07-07)
A inspiré : Non-homogeneous and linear-differential-equation solutions (update:13-07-07)
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Version | Publié le | Notes de version | |
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1.0.0.0 |