3. (a) Find all product solutions of the D.E. and B.C. for the problem D.E. ut = kuxx 0 0. L

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.4: Complex Numbers
Problem 50E
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3. (a) Find all product solutions of the D.E. and B.C. for the problem
D.E. ut = kuxx
0<x<L, t≥0
B.C. u(0,t) = 0
ux(L,t) = 0
I.C.
u(x, 0) = f(x).
(b) Solve the problem, if f(x) = 0 C sin [+]
N
<=0
(n 1)
Cn
for some integer N > 0.
L
Transcribed Image Text:3. (a) Find all product solutions of the D.E. and B.C. for the problem D.E. ut = kuxx 0<x<L, t≥0 B.C. u(0,t) = 0 ux(L,t) = 0 I.C. u(x, 0) = f(x). (b) Solve the problem, if f(x) = 0 C sin [+] N <=0 (n 1) Cn for some integer N > 0. L
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