(1) a) Match each of the following differential equations with one of the direction fields. (6) (ii) dy = y sin(y) b) For (i) and (ii), what are the equilibria? c) Classify the equilibria of (ii) as stable, unstable, or neither. d) For equation (ii), suppose y(0) = 2. Find lim y(t) and lim y(t). (A) 2FAA ** T *** 10 AA 11 Fr (B) 21 1 so of 4 3 *** THE ***** 21111 **** HTT TETTY TIA A 13-7171) 1-111 11 111 av MOTI 21 11

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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(1) a) Match each of the following differential equations with one of the direction fields.
() = y² - ²
(ii) = y sin(y)
b) For (i) and (ii), what are the equilibria?
c) Classify the equilibria of (ii) as stable, unstable, or neither.
d) For equation (ii), suppose y(0) = 2. Find lim y(t) and lim y(t).
18x
1-8
(A)
(B)
Transcribed Image Text:(1) a) Match each of the following differential equations with one of the direction fields. () = y² - ² (ii) = y sin(y) b) For (i) and (ii), what are the equilibria? c) Classify the equilibria of (ii) as stable, unstable, or neither. d) For equation (ii), suppose y(0) = 2. Find lim y(t) and lim y(t). 18x 1-8 (A) (B)
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