Q2. Solve the problem u = a²ux – u + x fu(0, t) = 0 lu(1,t) = 1 u(x, 0) = 0 P.D.E. 0
Q2. Solve the problem u = a²ux – u + x fu(0, t) = 0 lu(1,t) = 1 u(x, 0) = 0 P.D.E. 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 50RE
Related questions
Question
![Q2. Solve the problem
u = a?uxx - u + x
su(0, t) = 0
lu(1,t) = 1
P.D.E.
0 <x<1
0<t< 0
B.C.s
0 <t< 0
I.C.
u(x,0) = 0
0sx<1
by
(a) changing the nonhomogeneous BCs to homogeneous ones.
(b) transforming into a new equation without the term -u.
(c) solving the resulting problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb133b29e-1ee2-4fae-884c-36efe168cc00%2Fb51b6e16-c165-478e-935a-97c17c8ddf4a%2Fdr2ywsg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q2. Solve the problem
u = a?uxx - u + x
su(0, t) = 0
lu(1,t) = 1
P.D.E.
0 <x<1
0<t< 0
B.C.s
0 <t< 0
I.C.
u(x,0) = 0
0sx<1
by
(a) changing the nonhomogeneous BCs to homogeneous ones.
(b) transforming into a new equation without the term -u.
(c) solving the resulting problem.
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