Using separation of variables, solve the wave equation 8²6 2²6 əx² Ət² for {(x, t): 00}, subject to the boundary conditions аф (0, t) (1, t) -(x, 0) (x,0) Ət = = = = 0 0 = 0 = 0 sin (2x)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Using separation of variables, solve the wave equation
2²6 2²6
Əx² Ət²
for {(x, t): 0 < x < 1,t> 0}, subject to the boundary conditions
b(0, t)
(1, t)
аф
-(x, 0)
(x,0)
Ət
=
=
=
=
0
0
0
=
0
sin(2x)
Transcribed Image Text:Using separation of variables, solve the wave equation 2²6 2²6 Əx² Ət² for {(x, t): 0 < x < 1,t> 0}, subject to the boundary conditions b(0, t) (1, t) аф -(x, 0) (x,0) Ət = = = = 0 0 0 = 0 sin(2x)
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