ODE problems

  • #1
ODE-related problems

How do I find all the solutions of
[tex] e^{2s} + 2e^s +2 = 0 [/tex]
?
 
Last edited:

Answers and Replies

  • #2
2,210
1
That looks like a regular polynomial to me. Replace [itex] e^{s}~with~x [/itex] and see if you can pick it up.
 
  • #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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