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Calc 2 population of rabbits

  1. Apr 29, 2009 #1
    Let c be a positive number. A differential equation of the form below where k is a positive constant, is called a doomsday equation because the exponent in the expression ky^(1+c) is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term ky1.01. If 3 such rabbits breed initially and the warren has 26 rabbits after three months, then when is doomsday? (Doomsday is the finite time t=T such that lim T->inf. Round the answer to two decimal places.)

    dy/dt = ky^(1+c)

    ___months


    attempt :

    1/y^(1+c) dy = k dt

    integrate both sides :

    int [ ( 1/y^(1+c) ) ] = kt

    not sure how to integrate the left side.
     
  2. jcsd
  3. Apr 30, 2009 #2

    tiny-tim

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    Hi tnutty! :smile:

    but it's just ∫ y-n dy :wink:
     
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