Differential Equation, Rewriting solution

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Homework Help Overview

The discussion revolves around rewriting a solution related to differential equations, specifically focusing on expressing constants C and alpha as functions of A and B. Participants are exploring the process of combining terms in the context of complex exponentials and trigonometric identities.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to start rewriting the solution and mentions the challenge posed by the constants A and B. Some participants inquire about the completion of the first part of the problem, while others suggest considering trigonometric identities as a potential avenue for progress.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and seeking clarification on previous steps. There is a recognition of different approaches being considered, particularly regarding the use of trigonometric identities.

Contextual Notes

There is mention of the original poster's lack of familiarity with solving differential equations, which may influence their approach to the problem. The discussion also highlights the need to connect various mathematical concepts to progress.

ecoo
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Homework Statement



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(also express C and alpha as functions of A and B)

I need help with the second part (rewriting the solution).

Homework Equations



e = cos(θ) + jsin(θ)

The Attempt at a Solution



Unfortunately, I can't think of how to even begin solving. I have the notion that I have to combine the two terms into one, however the A and B constants prevent me from doing so. Can someone point me in the right direction?

Thanks
 

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Have you been able to do the first part?
 
Chestermiller said:
Have you been able to do the first part?

Yes, I have already done the first part. I did do it backwards, however, because I do not know how to solve differential equations (second derivative ---> function) yet.
 
ecoo said:
Yes, I have already done the first part. I did do it backwards, however, because I do not know how to solve differential equations (second derivative ---> function) yet.
Then by the same backwards approach, do you know the trigonometric identity for the cosine of the sum of two angles?
 
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Chestermiller said:
Then by the same backwards approach, do you know the trigonometric identity for the cosine of the sum of two angles?

Thanks for the help
 

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