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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

Advanced Engineering Mathematics
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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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.
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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