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Calc 2 population of rabbits

  • Thread starter tnutty
  • Start date
  • #1
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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.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
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int [ ( 1/y^(1+c) ) ] = kt

not sure how to integrate the left side.
Hi tnutty! :smile:

but it's just ∫ y-n dy :wink:
 

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