Consider the slope field shown. (a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate the following: y(1) ≈ and y(−1) ≈[ (b) For the solution that satisfies y(0) = 1, sketch the solution curve and estimate the following: y(0.5) and y(-1) (c) For the solution that satisfies y(0) = -1, sketch the solution curve and estimate the following: y(1) ≈ and y(−1) ≈[ ~

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question

Consider the slope field shown.

 

(a) For the solution that satisfies �(0)=0, sketch the solution curve and estimate the following:

 

Section 1.1 Direction Fields: Problem 9
+)
Consider the slope field shown.
(a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate the
following:
y(1) ~ and y(-1) ~|
(b) For the solution that satisfies y(0) = 1, sketch the solution curve and estimate the
following:
y(0.5) ~
and y(-1)
(c) For the solution that satisfies y(0) = -1, sketch the solution curve and estimate the
following:
y(1) ≈
and y(-1) ~
LLL
7/7/
2.
11
11
114 11
2 l l l L LL
2.2
1
Transcribed Image Text:Section 1.1 Direction Fields: Problem 9 +) Consider the slope field shown. (a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate the following: y(1) ~ and y(-1) ~| (b) For the solution that satisfies y(0) = 1, sketch the solution curve and estimate the following: y(0.5) ~ and y(-1) (c) For the solution that satisfies y(0) = -1, sketch the solution curve and estimate the following: y(1) ≈ and y(-1) ~ LLL 7/7/ 2. 11 11 114 11 2 l l l L LL 2.2 1
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