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Nada721

  • 2 years ago

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

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  1. modphysnoob
    • 2 years ago
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    use the characteristic equation, do you know how?

  2. Nada721
    • 2 years ago
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    Yes it's just the answer has sine and cosines in it and I don't know how they got it

  3. Spacelimbus
    • 2 years ago
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    that's because your answer are complex conjugated solutions. Have you dealt with them before?

  4. Nada721
    • 2 years ago
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    No. All of the other questions were not like that

  5. Spacelimbus
    • 2 years ago
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    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.

  6. modphysnoob
    • 2 years ago
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    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

  7. Nada721
    • 2 years ago
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    I was looking at it earlier under repeated roots and reduction order but it didn't help

  8. Nada721
    • 2 years ago
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    Euler's identity? Yea we didn't cover that. I guess il try looking that up

  9. Nada721
    • 2 years ago
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    Thank you both for your help

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spraguer (Moderator)
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