20. then X(x) and T(t) are respectively solutions of If X(x) T(t) is a nonzero solution of the boundary value problem Uz -3 U₂ = U₁, 0 0 u(0, t) = 0, u(1, t) = 0 A. B. C. E. D. SX"-3X'+XX=0 X(0) = X(1) = 0 JX" +3X' + XX=0 X(0) = X(1) = 0 [X"-3X' + XX=0 X(0) = X(1) = 0 J X" +AX=0 X(0) = X(1) = 0 None of the above and {T-XT=0 for some real constant A. and {T' + XT = 0 for some real constant A. and {T' + XT = 0 for some real constant A. {T' + XT = 0 for some real constant A. and
20. then X(x) and T(t) are respectively solutions of If X(x) T(t) is a nonzero solution of the boundary value problem Uz -3 U₂ = U₁, 0 0 u(0, t) = 0, u(1, t) = 0 A. B. C. E. D. SX"-3X'+XX=0 X(0) = X(1) = 0 JX" +3X' + XX=0 X(0) = X(1) = 0 [X"-3X' + XX=0 X(0) = X(1) = 0 J X" +AX=0 X(0) = X(1) = 0 None of the above and {T-XT=0 for some real constant A. and {T' + XT = 0 for some real constant A. and {T' + XT = 0 for some real constant A. {T' + XT = 0 for some real constant A. and
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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Transcribed Image Text:20. If X (x) T(t) is a nonzero solution of the boundary value problem
Uzz
-3u₂=u₂, 0<x< 1, t> 0
u (0, t) = 0, u(1, t) = 0
then X(x) and T(t) are respectively solutions of
A.
E.
B.
C.
D.
SX"-3X'+XX=0
X (0) = X(1) = 0
S X" +3X' +AX=0
X (0) = X(1) = 0
X" - 3X' + \ X = 0
X(0) = X(1) = 0
[ X" +AX=0
X(0) = X(1) = 0
None of the above
and {T-XT=0 for some real constant λ.
and {T' + XT=0 for some real constant X.
and {T' + XT = 0 for some real constant A.
and {T + XT = 0 for some real constant >.
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