a) Determine whether the following statements are true or false and justify your response. d?y + 9 =0 dx 3x (i) y = C1 e* + C2 e-3× is the general solution of (ii) y = Cx? e2x is the particular solution of dx2 d²y 4y = 3e2x. %3D (b) What is the characteristic equation and what role does it play in the solution to a linear, second-order difference and differential equations?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a) Determine whether the following statements are true or false and justify your
response.
d?y
+9 =0
dx
3x
(i) y = C1 e*
+ C2 e-3x is the general solution of
(ii) y = Cx e*
is the particular solution of dy
dx2
4y = 3e2x.
(b) What is the characteristic equation and what role does it play in the solution to a
linear, second-order difference and differential equations?
Transcribed Image Text:a) Determine whether the following statements are true or false and justify your response. d?y +9 =0 dx 3x (i) y = C1 e* + C2 e-3x is the general solution of (ii) y = Cx e* is the particular solution of dy dx2 4y = 3e2x. (b) What is the characteristic equation and what role does it play in the solution to a linear, second-order difference and differential equations?
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