d?y dž (z) + k° y(x) = 0, %3D subject to y(0) = 0 and y(L) = 0. The parameter k > 0.

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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Letter C please

1. Construct the solution to the following differential equations and the given
boundary conditions:
(a)
df
(2) +5 (2) + 6 f(2) = 0,
subject to
df
(-1) = 0, L) = 0.
dz
dz
Answer: f(0) = 0.
(b)
d?w
)) + 27
dy?
du
()) + 5n² w(y) = 0,
dy
%3D
subject to
dw
(1/4) = 0.
dy
w(0) = 0,
Answer: w(7/16) = 0.
(c)
d²y
dž (z) + k² y(z) = 0,
0 and y(L) = 0. The parameter k > 0.
subject to y(0) =
Transcribed Image Text:1. Construct the solution to the following differential equations and the given boundary conditions: (a) df (2) +5 (2) + 6 f(2) = 0, subject to df (-1) = 0, L) = 0. dz dz Answer: f(0) = 0. (b) d?w )) + 27 dy? du ()) + 5n² w(y) = 0, dy %3D subject to dw (1/4) = 0. dy w(0) = 0, Answer: w(7/16) = 0. (c) d²y dž (z) + k² y(z) = 0, 0 and y(L) = 0. The parameter k > 0. subject to y(0) =
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