1. Draw phase diagrams for the following ODEs: (a) (5 marks) $\frac{dy}{dt} = y^2 - 2$ (b) (5 marks) $\frac{dy}{dt} = y(3 - y)(25 - y^2)$
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Step 1: For the ODE dy/dt = 22, we can see that the derivative of y with respect to t is a constant, which means that the rate of change of y with respect to t is always 22. Show more…
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