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  3. 3 consider the differential equationxy 05 for which the initial...

Question: 3 consider the differential equationxy 05 for which the initial...

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3. Consider the differential equationxy 0.5 for which the initial dy dh condition is x = 1, y = 15. a) Use the Euler method to estimate the value ofy at x1.2. Use two steps with step length h throughout. 0.1 and work to 3 decimal places The population density of fish, P, in an area of commercial fishing changes over time in a manner governed by the differential equation: b) 응kr(-5)-1 (in units offish km iday) where k is the birth rate, N is the carrying capacity of the area and A is the fishing rate. For the case where k 0.01, N-1500, 5, with initial condition P 1000 at t0, use the RK2 method (also known as the Modified Euler method) to estimate the population density at t- 2 days. Use 1 step with an interval of 2 days.

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