9. Sketch a slope field for the following autonomous differential equation: = (y - 1)(y- 2) (y - 3)* Sketch solution trajectories for curves passing through the point (0, 30) for 30 = 0, 1,1.5, 2, 2.5, 3, 4. Find the equilibrium solutions, and specify whether each equilibrium solution is stable or unstable.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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9.
Sketch a slope field for the following autonomous differential equation:
= (y - 1)(y - 2) (y – 3)*
Sketch solution trajectories for curves passing through the point (0, 30) for 30 = 0, 1, 1.5, 2, 2.5, 3, 4.
Find the equilibrium solutions, and specify whether each equilibrium solution is stable
or unstable.
Transcribed Image Text:9. Sketch a slope field for the following autonomous differential equation: = (y - 1)(y - 2) (y – 3)* Sketch solution trajectories for curves passing through the point (0, 30) for 30 = 0, 1, 1.5, 2, 2.5, 3, 4. Find the equilibrium solutions, and specify whether each equilibrium solution is stable or unstable.
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