Using Riemann-Volterra Approach in partial differential Equation, solve the following d'u 20² əx² subject to the initial conditions u(x,0) = n(x), F(x, t) (,0) = v(x)
Using Riemann-Volterra Approach in partial differential Equation, solve the following d'u 20² əx² subject to the initial conditions u(x,0) = n(x), F(x, t) (,0) = v(x)
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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Question
Dd.02.
Transcribed Image Text:Using Riemann-Volterra Approach in partial differential
Equation, solve the following
d1²
²0M
dx²
subject to the initial conditions u(x,0) = n(x),
Answer:
= F(x, t)
du(x,0)
at
u(x, t) = [(x + ct) + n(x-ct))+ (E) ² - 7
2c
= v(x)
F(ET) de dr
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