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Repeated complex conjugate roots for Cauchy-Euler

  1. Apr 13, 2015 #1
    • Member warned about not using the homework template
    Looking for the general equation for repeated complex conjugate roots in a 4th order Cauchy Euler equation.

    This is incorrect, but I think it is close:
    X^alpha [C1 cos(beta lnx) + C2 sin(beta lnx)^2]

    I think that last term is a little off. Maybe C2 sin [beta (lnx)] lnx ???
     
  2. jcsd
  3. Apr 13, 2015 #2

    BvU

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    Repeated roots doesn't mean you only have a c1 and a c2. See Maslanka top of p 3.
     
  4. Apr 13, 2015 #3
    That is the Rosetta stone I needed. Thanks. My auxiliary equation is wrong which is throwing everything else off.
     
  5. Apr 14, 2015 #4

    BvU

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    You're most welcome. And I learned too from digging in this (after all, not every physicist can offhandedly cough up what a 4th order CE eqn is, so I had to google too :wink: )
     
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