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WOLFRAM|DEMONSTRATIONS PROJECT

Direction Fields for Differential Equations

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y' = a (y - b)
y' = (y + a) (y - b)
y' = -(y + a) (y - b)
y' = -a + b t - y
y' = -a t + b -
2
y
a
1
b
1
This Demonstration lets you change two parameters in five typical differential equations. Observe the changes in the direction field and long-term behavior of the system. Notice the changes in both the lines of equilibrium and the direction of the field.
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