differential equations.
Posted: Tue Jul 12, 2022 12:07 pm
differential equations.
A forest has a population of wolves and a population of rabbits. Let x represent the number of wolves (in hundreds) above some level, denoted with 0. So x = - 3 corresponds NOT to an absence of wolves, but to a population that is 300 below the designated level of wolves. Similarly, let y represent the number of rabbits (in hundreds) above a level designated by zero. The following system models the two populations over time: x' = 0.625x + y 0.625y Solve the system using the initial conditions x(0) = 0 and y(0) = 1. x (t) = y' = y(t) = - x -
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