(a) The temperature distribution u(x, t) of the one-dimensional silver rod is governed by the heat equation as follows. ди 0.5 at Given the boundary conditions u(0, t) = t2, u(0.8, t) = 6t, for 0 < t< 0.04 s and the initial condition u(x, 0) = x(0.8 – x) for 0 s

(a) The temperature distribution u(x, t) of the one-dimensional silver rod is governed by the heat equation as follows. ди 0.5 at Given the boundary conditions u(0, t) = t2, u(0.8, t) = 6t, for 0 < t< 0.04 s and the initial condition u(x, 0) = x(0.8 – x) for 0 s

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.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

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Question

(a) The temperature distribution u(x, t) of the one-dimensional silver rod is governed by
the heat equation as follows.
ди
0.5
at
Given the boundary conditions u(0, t) = t2, u(0.8, t) = 6t, for 0 < t< 0.04 s and the
initial condition u(x, 0) = x(0.8 – x) for 0 s<x< 0.8 mm, analyze the temperature
distribution of the rod with 4x
= 0.2 mm and At 0.02 s in 4 decimal places.

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