Consider the IVP: y" +9y = 40e*; y(0) = 5, y'(0) = -2. Find the general solution. (A) y(x) = 2e³x+cos3x - 4sin3x B y(x) = 40e*+2cos3x - 2sin3x y(x) = 4e +cos3x - 2sin3x -X D) y(x) = 4e + cos2x - 2sin2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the IVP:
y" +9y = 40e*; y(0) = 5, y'(0) = -2.
Find the general solution.
(A) y(x) = 2e³x+cos3x - 4sin3x
(B) y(x) = 40e* +2cos3x - 2sin3x
y(x) = 4e*+cos3x - 2sin3x
y(x) = 4e
4e¯* + cos2x - 2sin2x
D
Transcribed Image Text:Consider the IVP: y" +9y = 40e*; y(0) = 5, y'(0) = -2. Find the general solution. (A) y(x) = 2e³x+cos3x - 4sin3x (B) y(x) = 40e* +2cos3x - 2sin3x y(x) = 4e*+cos3x - 2sin3x y(x) = 4e 4e¯* + cos2x - 2sin2x D
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