2. Find the particular solutions for the given boundary conditions: a) b) d²y dx² +5- +6y=0 dy dx d²y dt² d²y dt² C) 4- dy 6- +9y=0 dt dy 5+y=0 dt when y(0) = 0 and y'(0) = 3 when y(0) = 1 and y'(0) = 2 when y(0) = 1 and y'(0) = -2

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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2. Find the particular solutions for the given boundary conditions:
a)
b)
C)
d²y
dx²
dy
+5-
dx
d²y
dt²
d²y
dt²
4-
+6y=0
dy
6- +9y=0
dt
dy
5+y=0
dt
when y(0) = 0 and y'(0) = 3
when y(0) = 1 and y'(0) = 2
when y(0) = 1 and y'(0) = -2
Transcribed Image Text:2. Find the particular solutions for the given boundary conditions: a) b) C) d²y dx² dy +5- dx d²y dt² d²y dt² 4- +6y=0 dy 6- +9y=0 dt dy 5+y=0 dt when y(0) = 0 and y'(0) = 3 when y(0) = 1 and y'(0) = 2 when y(0) = 1 and y'(0) = -2
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