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U₂ = k Uxx + ax (0

U₂ = k Uxx + ax (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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Problem 4 solve the initial valuve Problem given below U₂ = k Uxx + ax (0<x<c, t>0) with Ulot)O, UCCĐSEO, UCO) O Here & and a are positive constants. Useful Integral [²x (c²_x) sunnitx) dx = x = 20 2² ton som (5x) nel An Suler! ur) = ૧૮) + ર ર ર હુ 6k 73 Dm Dx h3 Note: (im ubxt) = t-700 tum 6c4 n³T3 ax(²-x). ૨૮). 6k 能 Problem 5. solve the following initial and boundary Value Problem -in l(0₁ t) = u(iTit) =0₁ (₂0 U₂ - 2 kt luxe =0, OLAZTT, tso U(x,0) = 2 pin 2x-5 pm 3x, 0²x≤W. k is a positive real number.
Transcribed Image Text:Problem 4 solve the initial valuve Problem given below U₂ = k Uxx + ax (0<x<c, t>0) with Ulot)O, UCCĐSEO, UCO) O Here & and a are positive constants. Useful Integral [²x (c²_x) sunnitx) dx = x = 20 2² ton som (5x) nel An Suler! ur) = ૧૮) + ર ર ર હુ 6k 73 Dm Dx h3 Note: (im ubxt) = t-700 tum 6c4 n³T3 ax(²-x). ૨૮). 6k 能 Problem 5. solve the following initial and boundary Value Problem -in l(0₁ t) = u(iTit) =0₁ (₂0 U₂ - 2 kt luxe =0, OLAZTT, tso U(x,0) = 2 pin 2x-5 pm 3x, 0²x≤W. k is a positive real number.
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