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hw5 - Math 104C Homework 5 1 The system of first order...

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Math 104C, Homework 5 1. The system of first order ordinary differential equations: ˙ x ( t ) = 1 . 2 x ( t ) - x 2 ( t ) - x ( t ) y ( t ) x ( t ) + 0 . 2 , (1) ˙ y ( t ) = 1 . 5 x ( t ) y ( t ) x ( t ) + 0 . 2 - y ( t ) , (2) describes a biological prey-predator model, where x ( t ) measures the size of the prey population and y ( t ) that of the predators. Solve the system by means of the classical Runge-Kutta method on the interval 0
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