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# Sketch solution curve of differential equation watch

1. 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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2. (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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3. What happens when N=500? Does the derivative become a certain value? What can you interpret about that value?
4. (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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5. (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?
6. (Original post by Zacken)
What do you call points whose derivative is 0?
Can't remember... Symmetrical? 😣

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

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

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9. (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.
10. So something like this...http://imgur.com/a/H6Rcq?

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Updated: February 8, 2016
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