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Elias S.

asked • 02/25/20

How to integrate this differential equation? Applied Maths

dN/dt = aN + bN2

(Where N is variable, a and b are constants)


N(0) = N0

This is what Im supposed to get:

N(t) = (aN0) / ((a-bN0)e-at+bN0)


I tried completing the square and a lot of other ways and I just can't do it. Any help would be much appreciated!


Edit: Comes from Logistic Model of Population Growth Equation


2 Answers By Expert Tutors

By:

Jacob M. answered • 02/25/20

Tutor
5.0 (591)

PhD in Math with 6+ Years of Teaching Experience

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