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How do I solve this question: Find the solution N= N(t) (Concentration of a chemical substance in soil) to the ordinary differential equation dN/dt=-RNp subject to the given initial condition N (0) = N0>0 where t>0 is the time, R>0 is the decay rate and p is a positive and bounded parameter

 Jul 4, 2016
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Like so:

 

\(\frac{dN}{dt}=-RNp\\ \frac{1}{N}\frac{dN}{dt}=-Rp\\\frac{d \ln N}{dt}=-Rp\\ \ln N - \ln N_0 = -Rpt\\ N=N_0e^{-Rpt}\)

 Jul 4, 2016

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