Use Euler's method to find the trajectory through the point (1, 2) in the phase plane for the predator prey model in Example 1.

Data from example 1

Find the first three approximations (x_1, y₁), (x_2, y₂), (x_3, y₃) using Euler's method for the predator–prey system of whales y and krill x.

Transcribed Image Text:

dx dt dy dt subject to the initial conditions xo = 1 and yo = 2 starting at to = 0, with At = 0.1. = 3x - xy = xy - 2y