8² Solve the wave equation, The boundary conditions are, = axat for u(x, t) with c = 1. u(0, t) = 1, u(1, t) = 0 and the initial conditions are u(x,0)=1-x+ sin 2mx ə u(x,0) = 0 at
8² Solve the wave equation, The boundary conditions are, = axat for u(x, t) with c = 1. u(0, t) = 1, u(1, t) = 0 and the initial conditions are u(x,0)=1-x+ sin 2mx ə u(x,0) = 0 at
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:Question 2:
Solve the wave equation,
8²u 1.0²u
c²01²
8x²
The boundary conditions are,
=
and the initial conditions are
for u(x, t) with c = 1.
u(0, t) = 1,
u(1, t) = 0
u(x, 0)= 1-x+ sin 2xx
d
at
u(x,0) = 0
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