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Find the general solution of the given differential equation 2y''+ 2y'+y = 0 Please help me solve this.

Mathematics
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use the characteristic equation, do you know how?
Yes it's just the answer has sine and cosines in it and I don't know how they got it
that's because your answer are complex conjugated solutions. Have you dealt with them before?

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Other answers:

No. All of the other questions were not like that
It's a bit hard to explain the nature of complex numbers and how they apply to Differential Equations in just one post, it's a rather big topic, but if you want, I can link you to Pauls Website where he deals with complex solutions.
just solve it using characterist equation; you should get expoential(like you always do) but with complex power; use euler idenity to get sin/cos
I was looking at it earlier under repeated roots and reduction order but it didn't help
Euler's identity? Yea we didn't cover that. I guess il try looking that up
Thank you both for your help

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