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A ode question

  1. Jul 10, 2010 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    say we get the roots: -1/2+i*sqrt(3)/2 and -1/2-i*sqrt(3)/2

    3. The attempt at a solution
    I saw two solutions to this problem
    first is
    second is

    which one is correct? I think the two solutions are different
  2. jcsd
  3. Jul 10, 2010 #2
    Euler's Formula states:

    [tex] e^{i\theta} = \cos(\theta) + i\sin(\theta). [/tex]

    Can you fill in the remaining steps? I hope this helps.
  4. Jul 11, 2010 #3


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    Science Advisor

    Using Euler's formula, as Raskolnikov suggests, you should find that the two functions are the same. (Possibly different constants, of course.)
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