2. For each of the differential equations below, use qualitative analysis to sketch a family of representative solutions. Identify the equilibrium solutions of each differential equation, and say whether they are sta- ble or unstable. Then, in another color pen or pencil, sketch the graphs of the solutions corresponding to the given initial conditions. y²4; y(0) = -1, y(0) = 3. ê dy dt dP = (P-2)² (7P); P(0) = 1, P(0) = 3. dt

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