1. Solve the diffusion equation on half-line and express the answer in terms of the error function: u₁ = kuxx, x≥0 u(0,t) = 1, u(x, 0): Jo, 0≤x≤1 == 1, x 1

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Could you please help me with this question? The last person who I sent this to gave me an answer that was very unclear and hard to understand. This is a question from partial differential equations.
1. Solve the diffusion equation on half-line and express the answer in terms
of the error function:
ut =
kuxx, x≥0
u(0,t) = 1,
u(x, 0) =
=
0,
[1, x > 1
Jo, 0 ≤ x ≤1
Transcribed Image Text:1. Solve the diffusion equation on half-line and express the answer in terms of the error function: ut = kuxx, x≥0 u(0,t) = 1, u(x, 0) = = 0, [1, x > 1 Jo, 0 ≤ x ≤1
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