I am trying to model the growth of a population which replicates at a rate of 160% every four hours. Also 50 000 members die every hour. so t denoting time in hours, P denoting the population, k being 0.4 I wrote:(adsbygoogle = window.adsbygoogle || []).push({});

dP/dt=kp-50 000 *t

Is my approach to solving the differential faulty?

dP/dt = kP- 50 000*t

P=kPt - (50 000*t^2)/2

P=(50000*t^2)/(2kt-2)

I don't know very much about differential equations so I might be doing really really wrong...

Thanks in advance

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# Population Growth

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