Differentiate with sespect to z' we get ズ Ce+ C2 xe^+ Cae? 4.
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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I need an explanation how this works. Thank you.
![+ C2 xe
Differentiate with sepect to 'z
get
we
%3D
dz
dy
Cie?+ C2 xe*
+ Cze?
(4.
Again differentiate with sespect to `x' we
Cz e? + c>(xe? +€?) +Cz e?
%3D
= cje+ C2 ze^ + &C2e?
dz2
->](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd950914-c7cf-4b58-8011-6298bb0f0dc6%2F94ead894-34bc-4cca-b139-006cadb22c12%2Fq2pka8b_processed.png&w=3840&q=75)
Transcribed Image Text:+ C2 xe
Differentiate with sepect to 'z
get
we
%3D
dz
dy
Cie?+ C2 xe*
+ Cze?
(4.
Again differentiate with sespect to `x' we
Cz e? + c>(xe? +€?) +Cz e?
%3D
= cje+ C2 ze^ + &C2e?
dz2
->
![from O :
Cze? = dy
-C2 x e?
T,
Substitute.
in © :
= Cje?+ C2ze?+2 dy - cg e²-c2zc²
2.
-C,ex - C2 ze? + ad.
edy.
Ce? + Cz ze?
+ ady
(fxom 0
dy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd950914-c7cf-4b58-8011-6298bb0f0dc6%2F94ead894-34bc-4cca-b139-006cadb22c12%2Fze1fddf_processed.png&w=3840&q=75)
Transcribed Image Text:from O :
Cze? = dy
-C2 x e?
T,
Substitute.
in © :
= Cje?+ C2ze?+2 dy - cg e²-c2zc²
2.
-C,ex - C2 ze? + ad.
edy.
Ce? + Cz ze?
+ ady
(fxom 0
dy
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