(D2 -4D +7)y = 0 A y = e²"(c,cos/2x+c,sin/2x) COS y = e2"(c,cos/3x+c,sin/3x) В © y = e (c ,cos2x+c,sin/2x) (D y = e-2"(c,cos3x + c_,sin3x)

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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Question
(D2 -4D +7)y = 0
A
y = e2"(c ,cos/2x+c ,sin/2x)
y = e2*(c,cos/3x+c,sin/3x)
В
© y = e* (c,cos/2x+c,sin/2x)
D y = e-2"(c,cos3x + c ,sin3x)
Transcribed Image Text:(D2 -4D +7)y = 0 A y = e2"(c ,cos/2x+c ,sin/2x) y = e2*(c,cos/3x+c,sin/3x) В © y = e* (c,cos/2x+c,sin/2x) D y = e-2"(c,cos3x + c ,sin3x)
Find the solution.
(D² - 2D + 2)y = 0
A
y = e*(c,cosx + €z*sinx) +€ zxe¯*
B y = e2"(c,cosx + c,sinx) +c 3
© y = e¯*(c,cosx + € „xsinx)
D y = e*(c,cosx + c,
C,sinx)
Transcribed Image Text:Find the solution. (D² - 2D + 2)y = 0 A y = e*(c,cosx + €z*sinx) +€ zxe¯* B y = e2"(c,cosx + c,sinx) +c 3 © y = e¯*(c,cosx + € „xsinx) D y = e*(c,cosx + c, C,sinx)
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