etermine whether the following statements are true or false and justify your esponse. -3x d²y dy y = Ce3x + C2e¬ is the general solution of dx2 +9 = 0. dx

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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Determine whether the following statements are true or false and justify your
response.
dy
(i)
y = Ce3x + C2e
-3x is the general solution of
dx2
+ 9 = 0.
dx
= Cx?e2x is the particular solution of
dx2
d²y
- 4y = 3e²x.
(ii)
Ур
Transcribed Image Text:Determine whether the following statements are true or false and justify your response. dy (i) y = Ce3x + C2e -3x is the general solution of dx2 + 9 = 0. dx = Cx?e2x is the particular solution of dx2 d²y - 4y = 3e²x. (ii) Ур
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