Show that the function Tct 2Tx 2nct COS TX u(x, t) = bị sin COS L + b2 sin L where c, L, b1, b2 are nonzero constants with L > 0 and c > 0, is a solution to the one-dimensional wave equation = c².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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Show that the function
a(z, t) = bi sin )cos() + b sin cos( 2)
Tct
2nct
bị sin
COS
L
+ b2 sin
L
COS
L
where c, L, b1, b2 are nonzero constants with L > 0 and c > 0, is a solution to the
one-dimensional wave equation
c2.
Transcribed Image Text:Show that the function a(z, t) = bi sin )cos() + b sin cos( 2) Tct 2nct bị sin COS L + b2 sin L COS L where c, L, b1, b2 are nonzero constants with L > 0 and c > 0, is a solution to the one-dimensional wave equation c2.
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