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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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 4CR
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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
Transcribed Image Text: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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