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Exponential growth

  1. Feb 7, 2009 #1
    1. The problem statement, all variables and given/known data
    Determine the period in which y = Cekt changes by a
    factor of q.

    I have no idea what it is asking.. find t when k=q????
     
  2. jcsd
  3. Feb 7, 2009 #2

    Hootenanny

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    The question is asking to find the T (period) such that

    [tex]y\left(t+T\right) = q\cdot y\left(t\right)[/tex]
     
  4. Feb 7, 2009 #3
    y(t + T) = C ek^(t+T) = C e^kt+kT = C e^kt · e^kT = e^kT y(t).

    so q= e^kT ??
     
  5. Feb 7, 2009 #4

    Hootenanny

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    I'm afraid that my browser cannot render the special character that you have typed (the coefficient of T).
     
  6. Feb 7, 2009 #5
    I'm sorry huh???
     
  7. Feb 7, 2009 #6

    Hootenanny

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    A special character 'placeholder' appears before each T in your expression, I thought that you may have typed a special character?
     
    Last edited: Feb 7, 2009
  8. Feb 7, 2009 #7

    HallsofIvy

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    Yes, now solve for T.
     
  9. Feb 7, 2009 #8

    Hootenanny

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    Thanks Halls. For some reason I was getting special characters inside intenzxboi's expressions. :confused:
     
  10. Feb 8, 2009 #9
    Thanks guys.. without the help off all the tutors/mentor and other users i don't know how i will learn all this stuff
     
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