- #1

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- #1

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- #2

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For example, assuming ##x = x(t)##, ##X = \sum_i A_i ψ_i e^{λ_i t} ## for constants ##A_i## and eigenvectors ##ψ_i## associated with eigenvalues ##λ_i##.

Then just rearrange your solutions into real valued functions like the questions asks. (It looks like the solutions take the form of exponentials, or exponentials multiplied with sins and cos at first glance).

- #3

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- #4

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You are going to have to do some more work and at least try to work it out using what I've already told you. (You are 75% there already).

If you have more questions, post how far you get and I'll be happy to answer your questions about where you are getting stuck, but continuing to ask "how do I get the answer" isn't going to get you very far, I'm afraid.

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