Find the solution to the initial value problem for b= 6√/2. y(t) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![To see the effect of changing the parameter b in the given initial value problem, solve the problem for b = 9, 6√√2, and 2 and sketch the solutions.
y''+by' + 18y=0; y(0)=1, y'(0) = 0
Find the solution to the initial value problem for b = 9.
y(t) = 2e-3t-e-6t
Sketch the solution to the initial value problem for b = 9.
A.
1.5-
-1.5-
Q
B.
AY
1.5-
-1.5
Find the solution to the initial value problem for b = 6√/2.
y(t) =
Q
O C.
AY
1.5-
-1.5
d
Q
D.
AY
1.5+
-1.5-
t
Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2c370c8-f220-47ec-b561-9f6a07b2c79a%2Fbdfda9e9-e58b-4457-8865-46dfcaf40152%2Flrw9ht_processed.png&w=3840&q=75)
Transcribed Image Text:To see the effect of changing the parameter b in the given initial value problem, solve the problem for b = 9, 6√√2, and 2 and sketch the solutions.
y''+by' + 18y=0; y(0)=1, y'(0) = 0
Find the solution to the initial value problem for b = 9.
y(t) = 2e-3t-e-6t
Sketch the solution to the initial value problem for b = 9.
A.
1.5-
-1.5-
Q
B.
AY
1.5-
-1.5
Find the solution to the initial value problem for b = 6√/2.
y(t) =
Q
O C.
AY
1.5-
-1.5
d
Q
D.
AY
1.5+
-1.5-
t
Q
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