y = CLe? + C2 ze? (3) Differentiate with sespect to 'x' get we dy Again differentiate with sespect to x" get = Cq e²+ C> (xe? +e?) +Cze? we Cie" + C2 ze²+ 2C2 e? dz2 ズ from O Substitute in © : dy - Cge 2. -C,e% - C2 xe? + ad . + Cz xe? ady + 2dy (fsom ® 2 dy + 介

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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Differentiation is difficult to understand. Please help me to understand this. Thank you.

y = CLe? + C2 ze?
(3)
Differentiate with sespect to 'x'
get
we
dy
Again differentiate with sespect to x"
get
= Cq e²+ C> (xe? +e?) +Cze?
we
Cie" + C2 ze²+ 2C2 e?
dz2
ズ
from O
Substitute in © :
dy - Cge
2.
-C,e% - C2 xe? + ad .
+ Cz xe?
ady
+ 2dy
(fsom ®
2 dy +
介
Transcribed Image Text:y = CLe? + C2 ze? (3) Differentiate with sespect to 'x' get we dy Again differentiate with sespect to x" get = Cq e²+ C> (xe? +e?) +Cze? we Cie" + C2 ze²+ 2C2 e? dz2 ズ from O Substitute in © : dy - Cge 2. -C,e% - C2 xe? + ad . + Cz xe? ady + 2dy (fsom ® 2 dy + 介
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