- #1
Complex Eigenvalues of system of DE
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- Complex Differential equations
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The discussion centers on clarifying the equivalence between two expressions in the context of complex eigenvalues in a system of differential equations. A participant expresses confusion regarding a transition between steps, specifically pointing out a sign error in the yellow expression. The correct form of the second term is identified as involving a negative sine and a positive cosine. Acknowledgment of a typo resolves the confusion, leading to a clearer understanding of the mathematical relationship. The conversation highlights the importance of accuracy in mathematical expressions when dealing with complex systems.
- #2
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Just perform the multiplications and collect real and imaginary terms in their own matrices.
- #3
renormalize
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The yellow expression contains a sign error; the second term should be:$$ChiralSuperfields said:
i\left(\begin{array}{c}
-e^{-2t}\sin3t\\
+e^{-2t}\cos3t
\end{array}\right)
$$
- #4
member 731016
Thank you for your replies @Orodruin and @renormalize ! Yeah that was part of my confusion is that there is a typo
It makes sense now that I know it is a typo!
Thanks!
It makes sense now that I know it is a typo!
Thanks!