Solve the initial value problem y = 11cost + sint y = ell cost + 11e-1¹t sint e-11t sint y = 11e-11tcost + e -11t y = e-llt + 11e-11t y = cost + 11sint O y = 11e-11t+ e-llt y" +22y' + 122y = 0, y(0) = 1, y'(0) = 0
Solve the initial value problem y = 11cost + sint y = ell cost + 11e-1¹t sint e-11t sint y = 11e-11tcost + e -11t y = e-llt + 11e-11t y = cost + 11sint O y = 11e-11t+ e-llt y" +22y' + 122y = 0, y(0) = 1, y'(0) = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Solve the initial value problem
y = 11cost + sint
0 y = e-1¹tcost + 11e-1¹t sint
y = 11e 11tcost + e-¹1t sint
y = e-llt + 11e-11t
y = cost + 11sint
y = 11e-11t
-11t
+ e
y" + 22y' + 122y = 0, y(0) = 1, y'(0) = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ffbc1d8-30c0-4fb7-b8ef-40672e1fb1c7%2F76eea2f8-6384-450a-942b-70eb4b697528%2Fgxy463u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the initial value problem
y = 11cost + sint
0 y = e-1¹tcost + 11e-1¹t sint
y = 11e 11tcost + e-¹1t sint
y = e-llt + 11e-11t
y = cost + 11sint
y = 11e-11t
-11t
+ e
y" + 22y' + 122y = 0, y(0) = 1, y'(0) = 0
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