The general solution of 2y" +8y' = –6y can be written as y(t) = C1e"it + C2e"2t, |ri| < |r2]. where The values of ri and r2 are, respectively, and
The general solution of 2y" +8y' = –6y can be written as y(t) = C1e"it + C2e"2t, |ri| < |r2]. where The values of ri and r2 are, respectively, and
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
![The general solution of
2y"+8y' = -6y
can be written as
y(t) = C1e"it + C2e"2t,
where ri| < |r2l-
|r1|
< |r2].
The values of
rị r2 are,
and
respectively,
and
If
y(0) = 2 and y'(0) = –1,
then
C1 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d23c93b-870e-4ad1-8eae-60e3d2381ea8%2F6afd230a-1332-4381-bf8e-10cb5123972b%2Fmh2qik_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The general solution of
2y"+8y' = -6y
can be written as
y(t) = C1e"it + C2e"2t,
where ri| < |r2l-
|r1|
< |r2].
The values of
rị r2 are,
and
respectively,
and
If
y(0) = 2 and y'(0) = –1,
then
C1 =
![If
y(0) = 2 and y'(0) = –1,
then
C1 =
and
C2 =
and
y(5) =
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d23c93b-870e-4ad1-8eae-60e3d2381ea8%2F6afd230a-1332-4381-bf8e-10cb5123972b%2F2ztuzz8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If
y(0) = 2 and y'(0) = –1,
then
C1 =
and
C2 =
and
y(5) =
||
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