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Consider This Initial Value Problem:

Which of the Following \rightarrow

Question 54

Multiple Choice

Consider this initial value problem:
 Consider this initial value problem:   Which of the following is an accurate description of the long-term behavior of the solution? A)  y(t)  tends to 0 as t  \rightarrow   \infty . B)  y(t)  is strictly increasing and approaches  \infty  as t  \rightarrow   \infty . C)  y(t)  is strictly decreasing and approaches - \infty  as t  \rightarrow   \infty . D)  y(t)  becomes unbounded in both the positive and negative y-direction as t  \rightarrow   \infty .
Which of the following is an accurate description of the long-term behavior of the solution?


A) y(t) tends to 0 as t \rightarrow \infty .
B) y(t) is strictly increasing and approaches \infty as t \rightarrow \infty .
C) y(t) is strictly decreasing and approaches - \infty as t \rightarrow \infty .
D) y(t) becomes unbounded in both the positive and negative y-direction as t \rightarrow \infty .

Correct Answer:

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