Slope Fields: Example 1

Example: Consider the autonomous differential equation

,

where the graph of f(y) is given by

1.

Sketch the Slope Fields of this differential equation.
(Hint: the graph of the solutions and the graph of f(y) are two different entities.)

2.

Sketch the graph of the solution to the IVP

Find the limit .

3.

Sketch the graph of the solution to the IVP

Find the limit .

Solution.

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Last Update 6-22-98

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