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Using Maple Software Worksheet

Using Maple Software Worksheet

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Q3:The pplane plot gives a plot of y against x. Explain why, as a function of x, the system (∗∗) yields: dy/dx = y(−0.75 + 0.25x)/x(1 − 0.5y)

Use dfield (not pplane ) to plot some solutions to this equation for various initial data. Use the same ranges on x and y as part (2). You should find that the solution 2 curves here are the same as the orbits in part (2) except that the top half and the bottom half of each closed orbit must be plotted separately. Can you think of a mathematical reason for this ? (Think a

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