Chapter 1 Introduction
1) A portion of the direction field for the differential equation = f(y) is shown below:
The dotted horizontal line has equation y = 18. Fill in the following chart to indicate the behavior
as t → ∞ of the solution y(t) of the differential equation corresponding to each initial condition
.
Initial
Condition
Approaches
the line
Approaches
the x-axis
Tends towards
∞
Tends towards
∞
36
9
0
18
Answer:
Initial
Condition
Approaches
the line
Approaches
the x-axis
Tends towards
∞
Tends towards
∞
36 X
9 X
0 X
18 X
Type: ES Var: 1
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