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Sketch solution curve of differential equation watch

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    Initially N=100, the rate increase of N is 8 per year. In one theory being tested, the number N of nesting pairs after t years is assumed to satisfy d.e: dN/dT = 1/5000(N)(500-N)
    When N=300 dN/dT = 12
    When N=450 dN/dT = 4.5

    Using this data sketch the solution curve of the differential eq. for which N=100 when t=0



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    (Original post by TSRforum)
    Initially N=100, the rate increase of N is 8 per year. In one theory being tested, the number N of nesting pairs after t years is assumed to satisfy d.e: dN/dT = 1/5000(N)(500-N)
    When N=300 dN/dT = 12
    When N=450 dN/dT = 4.5

    Edit: Describe what happens as N approaches 500 and interpret your answer.

    Using this data sketch the solution curve of the differential eq. for which N=100 when t=0



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    What happens when N=500? Does the derivative become a certain value? What can you interpret about that value?
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    (Original post by Zacken)
    What happens when N=500? Does the derivative become a certain value? What can you interpret about that value?
    It becomes 0 but what can I interpret from that?


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    (Original post by TSRforum)
    It becomes 0 but what can I interpret from that?


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    What do you call points whose derivative is 0?
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    (Original post by Zacken)
    What do you call points whose derivative is 0?
    Can't remember... Symmetrical? 😣


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    (Original post by TSRforum)
    Can't remember... Symmetrical? 😣


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    Stationary points.
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    (Original post by Zacken)
    Stationary points.
    So N reached MAX point as it gets bigger?


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    (Original post by TSRforum)
    So N reached MAX point as it gets bigger?


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    Yep. Also, the 'y'-axis intercept is going to be 100.
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    So something like this...http://imgur.com/a/H6Rcq?



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