16) Find the solution to the nonhomogeneous heat equation: Uxx = t( sin 2πx + 2x), 0 ≤x≤1, t> 0 PDE: ut BC: u(0, t) = 1, u(1,t) = t² IC: u(x, 0) = 1 + sin 3x - x

Calculus For The Life Sciences
2nd Edition
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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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16) Find the solution to the
PDE: ut
nonhomogeneous heat equation:
- uxx = t( sin 2πx + 2x), 0≤x≤ 1,
BC: u(0, t) = 1, u(1, t) = t²
IC: u(x, 0) = 1 + sin 3x - x
t> 0
Transcribed Image Text:16) Find the solution to the PDE: ut nonhomogeneous heat equation: - uxx = t( sin 2πx + 2x), 0≤x≤ 1, BC: u(0, t) = 1, u(1, t) = t² IC: u(x, 0) = 1 + sin 3x - x t> 0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,