We have a population model given by the differential equation: dP/dt = (k*cos(t))*P, where k is a pos. constant, and P(T) undergoes yearly seasonal changes. Assume that P(0) = P_(0). 1.) Solve the Dif. Equation and graph the solution.
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Originally Posted by fifthrapiers We have a population model given by the differential equation: dP/dt = (k*cos(t))*P, where k is a pos. constant, and P(T) undergoes yearly seasonal changes. Assume that P(0) = P_(0). 1.) Solve the Dif. Equation and graph the solution. Did you notice that the differential equation is separable? So integrate both sides and use your initial condition to evaluate the arbitrary constant in terms of . -Dan
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