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
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+ 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
->
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
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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