3. Solve the inhomogeneous Neumann diffusion problem on the half-line for 0 < x <∞, 0 < t <∞ W₁kw xx = 0 wx (0, 1) = h(t) w(x, 0) = (x), by the subtraction method indicated in the text.

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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[Second Order Equations] How do you solve this?

3. Solve the inhomogeneous Neumann diffusion problem on the half-line
W₁ - kwxx = 0
wt
for 0 < x < ∞, 0 < t <∞
wx (0, t) = h(t)
w(x, 0) = (x),
by the subtraction method indicated in the text.
Transcribed Image Text:3. Solve the inhomogeneous Neumann diffusion problem on the half-line W₁ - kwxx = 0 wt for 0 < x < ∞, 0 < t <∞ wx (0, t) = h(t) w(x, 0) = (x), by the subtraction method indicated in the text.
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