ºu 20ºu 0x2 02 subject to the initial conditions u(x,0) = n(x), = F(x, t) du(x,0) dt v(x)
ºu 20ºu 0x2 02 subject to the initial conditions u(x,0) = n(x), = F(x, t) du(x,0) dt 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
Related questions
Question
B1.
Advance maths
Using Riemann-Volterra Approach in partial
![2² u
20² u
at²
2x²
subject to the initial conditions u(x,0) = n(x),
Answer:
= F(x, t)
du(x,0)
dt
!= v(x)
-x+ct
1
u(x, t) = [n(x + ct) + n(x − ct)] + :
=
+ 2 c for v(E) d² - 2 / S² Sove
2c
2c
x-ct
Jx-ct
F(E, T) de dr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2dbf05e8-4609-48ee-b8a3-5dc8c1c2617c%2F552617ba-5b9c-40a4-b8c8-5d08d5060bc6%2Fyuzpia_processed.png&w=3840&q=75)
Transcribed Image Text:2² u
20² u
at²
2x²
subject to the initial conditions u(x,0) = n(x),
Answer:
= F(x, t)
du(x,0)
dt
!= v(x)
-x+ct
1
u(x, t) = [n(x + ct) + n(x − ct)] + :
=
+ 2 c for v(E) d² - 2 / S² Sove
2c
2c
x-ct
Jx-ct
F(E, T) de dr
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