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November 01, 2025, 07:27:12 pm

Author Topic: differential equations help?from sample sac  (Read 1699 times)  Share 

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geeza23

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differential equations help?from sample sac
« on: August 03, 2009, 05:51:22 pm »
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i got like a sample sac and its basically this
the population of like certain species of animals can be modeled after dW/dt=(m-n)W where W is the population of the animal after t time
and for part i m=0.10 and n=0.06 and find out the population after 10 and 100 years and then ii use eulers rule to find out the population after 10 years and then compare the results between i and ii

part b is 0.08 < or equal to m < or equal to 0.12
            0.06 < or equal to n < or equal to 0.09
find an expression for the number of animals using like reasonable values of m and n
then find at when i)will they all die out
                        ii)grow with no limit


can anyone help me out?
2008
Chinese SLA - 40

2009
ESL                  - 43+
Accounting        - 38+
Math Methods    - 34+
Physics             - 20+
Specialist           - 20+

hopefully enter of 95.20 and above

anonuser0511

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Re: differential equations help?from sample sac
« Reply #1 on: August 03, 2009, 11:55:30 pm »
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not sure what the question is asking...
-with euler's rule: usually a step size is included with initial conditions
-also when constructing a differential equation usually part of the question says "initially there were ___ animals" so that you can find the constant after you integrate it.

So far i end up with

W = e^((1/25)(t-c)) by flipping dW/dt and then integrating and rearranging it.
need more information to find c.