Find the solution of the initial value problem: y (4) -6y +9y"=0 [y(0) = -2, y' (0) = -3, y" (0) = 0, y" (0)=0] a) b) c) d) e) y=-3-2x y=-2-3x 3 y=-3 e³x-2x e³x y = −2+3x 3 y=-2 e³x -3xe³x f) None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find the solution of the initial value problem:
, (4) — 6 y " +9y"=0
y
[y(0) = -2, y' (0) = -3, y" (0) = 0, y" (0)=0]
a)
y=-3-2x
f)
b)
c) y=-3 e³x-2xe³x
d)
y = −2+3x
e)
y=-2 e³x -3xe³x
y=-2-3x
None of the above.
Transcribed Image Text:Find the solution of the initial value problem: , (4) — 6 y " +9y"=0 y [y(0) = -2, y' (0) = -3, y" (0) = 0, y" (0)=0] a) y=-3-2x f) b) c) y=-3 e³x-2xe³x d) y = −2+3x e) y=-2 e³x -3xe³x y=-2-3x None of the above.
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