In the study of population dynamics one of the most famous models for a growing but...

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In the study of population dynamics one of the most famousmodels for a growing but bounded population is the logisticequation dP/dt = P(a − bP), where a and b are positive constants.First find the general solution, then given a particular solutionwith p(0)=1. Then plot the solution in MATLAB with two sets of(a,b) values that you choose.

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clear allclose allexact soultionsyms pt a beqn diffpt pabpcond p0 1Psolt dsolveeqncondfprintfGeneral Exact solution for given ode PtdispPsolexact soultionsyms pteqn diffpt p105pcond p0 1Psolt dsolveeqncondfprintfExact solution for given ode for a10 b5    See Answer
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