Section 1.4 The Phase Line
objective
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to be able to sketch the phase line of autonomous
differential equations
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to be able to identity equilibrium points as sinds,
sources, nodes
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to be able to use the phase line to predict asymptotic
behavior of solutions to autonomous equations with initial conditions
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to be able to sketch bifurcation diagrams
key ideas and/or vocabulary
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autonomous equation
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equilibrium points
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stable or sinks
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unstable or source
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nodes
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phase line
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bifurcation diagram
solved problems-using key ideas
sketching the phase line of an autonomous differentiation equation,
identifying and classifying equilibrium points as sinks, nodes or sources,
#1,7
using the phase line to predict long term behavior of solutions, #11,13
sketching a bifurcation diagram, #21
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QUESTION OF THE DAY
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A cat, walking along the window edge of
an apartment building, knocks off a flower pot, which falls 200 feet to
the street below. How fast is the flower pot traveling when it hits
the ground?
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SOLUTION
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SOLUTION.
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