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Homework Help: ODE problems

  1. May 17, 2005 #1
    ODE-related problems

    How do I find all the solutions of
    [tex] e^{2s} + 2e^s +2 = 0 [/tex]
    ?
     
    Last edited: May 17, 2005
  2. jcsd
  3. May 17, 2005 #2
    That looks like a regular polynomial to me. Replace [itex] e^{s}~with~x [/itex] and see if you can pick it up.
     
  4. May 17, 2005 #3
    okay thanks, i got that.

    This is the last part of a problem for which i completed all the other parts. The question asks to find [itex]\lambda + wi[/itex] such that a given [itex]z = e^{\lambda + wi}[/itex].
    For example, given [itex]z = 1-i[/itex], |z| = [itex]\sqrt{2}[/itex], arg(z) = -pi/4, so [itex]\lambda + wi = \ln{\sqrt{2}} - \frac{\pi}{4}[/itex]

    The last part of the problem asks for the same information, except with z = -2i. I have found |z| = 2, arg(z) = -1, but I can't find out what [itex]\lambda + wi[/itex] is supposed to be.
     
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