1. Find the solution of the initial-boundary value problem ди Ət ди + t = 0 მე: for 0 < x < ∞ and 0 < t < ∞, with u(x, 0) = f(x), 0

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Find the solution of the initial-boundary value problem
ди
Ət
ди
+ t = 0
მე:
for 0 < x < ∞ and 0 < t < ∞, with
u(x, 0) = f(x),
0<x<∞,
u(0,t) = g(t),
0<t< ∞.
Transcribed Image Text:1. Find the solution of the initial-boundary value problem ди Ət ди + t = 0 მე: for 0 < x < ∞ and 0 < t < ∞, with u(x, 0) = f(x), 0<x<∞, u(0,t) = g(t), 0<t< ∞.
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