Fundamental Matrix of Ordinary Differential Equations system

Asked Sep 30 '24 at 04:44

Active Sep 30 '24 at 04:44

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I was reading Tyn Mynt U Ordinary Differential Equations. I have to find the fundamental Matrix of solutions of the following matrix.

\begin{bmatrix}2&1&0\\0&2&1\\0&0&2\end{bmatrix}
Here the eigenvalue is 2 with multiplicity 3. But I always get stuck while procceeding further. I am new to this course so guide me to the solution. Thanks in advance...

asked Sep 30 '24 at 04:44

Ayush Kumar Singh

In this case, a basis of solutions is $e^{\lambda t},te^{\lambda t},t^2e^{\lambda t}$ with $\lambda = 2$ – Jean Marie Sep 30 '24 at 04:47
https://math.stackexchange.com/questions/1451276/matrix-exponential-for-jordan-canonical-form – whpowell96 Sep 30 '24 at 05:41

Fundamental Matrix of Ordinary Differential Equations system

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