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C- Select the wave equation by utilizing separate variables with initial conditions. U(0, t) = 0 U(l, t) = 0 Ut(x, 0) = 0 and U(x,0)= 2 + 4x A- U(x, t) = Σn=1 cos(x) sin(t) 4 1-(-1)" TC n BU(x, t) = -1 - U (x, t) = 400 1-(-1)" -1 n 1-(-1)" n TC 1-(-1)" sin(x) sin(t) n 00 Q- U(x, t) = -1 сип sin(7x) cos (CTT t) cos(x) cos (Cnt)

C- Select the wave equation by utilizing separate variables with initial conditions. U(0, t) = 0 U(l, t) = 0 Ut(x, 0) = 0 and U(x,0)= 2 + 4x A- U(x, t) = Σn=1 cos(x) sin(t) 4 1-(-1)" TC n BU(x, t) = -1 - U (x, t) = 400 1-(-1)" -1 n 1-(-1)" n TC 1-(-1)" sin(x) sin(t) n 00 Q- U(x, t) = -1 сип sin(7x) cos (CTT t) cos(x) cos (Cnt)

Advanced Engineering Mathematics
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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Select the wave equation by utilizing separate variables with initial conditions?
C- Select the wave equation by utilizing separate variables with initial conditions. U(0, t) = 0 U(l, t) = 0 Ut(x,0) = 0 and U(x,0) = 2 + 4x 1-(-1)" n A- U(x, t) = = =1 cos(x) sin(t) 400 π' BU(x, t) = -1 1-(-1)" sin(x) sin(t) n ∞ 1-(-1)" - U(x, t) = -1 TC 00 Q- U(x, t) = -1 n 1-(-1)" n сип sin (7x) cos (CTT t) cos(x) cos (Cnt)
Transcribed Image Text:C- Select the wave equation by utilizing separate variables with initial conditions. U(0, t) = 0 U(l, t) = 0 Ut(x,0) = 0 and U(x,0) = 2 + 4x 1-(-1)" n A- U(x, t) = = =1 cos(x) sin(t) 400 π' BU(x, t) = -1 1-(-1)" sin(x) sin(t) n ∞ 1-(-1)" - U(x, t) = -1 TC 00 Q- U(x, t) = -1 n 1-(-1)" n сип sin (7x) cos (CTT t) cos(x) cos (Cnt)
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