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encorelui2
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People I am fairly new with dealing with DEs (and here I was thinking I got it all )
Any who: I am working on some problems here and the professor wants us to use 2 methods to solve this DE. My issue is I can't figure out what the 2nd method is!
(dY)/dt=AY +F
[itex]^{Y}[/itex] = [7,4,4; -6,-4,-7; -2,-1,2] and [itex]\textbf{}F[/itex] = [-3;0;3]e[itex]^{-iwt}[/itex]
Initial contions: $$Y(0)=\begin{pmatrix} 1\\ -2\\ 3\end{pmatrix},\; $$
I was able to find the eigenvalues & eigenvectors; hence the particular & general solutions. My issue i s I don't know of any other method to do this. Can anyone point me in the right direction?
Thanks
Any who: I am working on some problems here and the professor wants us to use 2 methods to solve this DE. My issue is I can't figure out what the 2nd method is!
(dY)/dt=AY +F
[itex]^{Y}[/itex] = [7,4,4; -6,-4,-7; -2,-1,2] and [itex]\textbf{}F[/itex] = [-3;0;3]e[itex]^{-iwt}[/itex]
Initial contions: $$Y(0)=\begin{pmatrix} 1\\ -2\\ 3\end{pmatrix},\; $$
I was able to find the eigenvalues & eigenvectors; hence the particular & general solutions. My issue i s I don't know of any other method to do this. Can anyone point me in the right direction?
Thanks
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