14. The slope field for a differential equation =f(x,y) is given in the figure. Which of the following statements are true? #3 I. A solution curve that contains the point (0, 2) also contains the point (-2, 0). II. As y approaches 1, the rate of change of y approaches zero. III. All solution curves for the differential equation have the same slope for a given value of y (A) I only (B) II only (C) I and II only NO CALCULATOR (D) II and III only 40 40 (E) I, II, III

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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14. The slope field for a differential equation =f(x,y)
is given in the figure. Which of the following
statements are true?
#3
I. A solution curve that contains the point (0, 2) also
contains the point (-2, 0).
II. As y approaches 1, the rate of change of y
approaches zero.
III. All solution curves for the differential equation have
the same slope for a given value of y
(A) I only (B) II only (C) I and II only
NO CALCULATOR
1/1134
111111111
\\\!!!!۱۱/۱۱
(D) II and III only
(E) I, II, III
Transcribed Image Text:14. The slope field for a differential equation =f(x,y) is given in the figure. Which of the following statements are true? #3 I. A solution curve that contains the point (0, 2) also contains the point (-2, 0). II. As y approaches 1, the rate of change of y approaches zero. III. All solution curves for the differential equation have the same slope for a given value of y (A) I only (B) II only (C) I and II only NO CALCULATOR 1/1134 111111111 \\\!!!!۱۱/۱۱ (D) II and III only (E) I, II, III
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