Consider the equation ut=uxx+10, 0<x<1, t>0, that is, there is uniform heat source. Suppose further that ends are kept as u(0,t)=0,u(1,t)=−3. What is the steady state solution ?(?)U(x), if it exists? That is, a solution after a very long time. Hint: a steady-state solution does not depend on timeU(x): |Consider the equation u, = uxx + 10, 0 < x < 1, t > 0, that is, there is uniform heat source.Suppose further that ends are kept as u(0, t) = 0, u(1, t) = -3. What is the steady state solutionU(x), if it exists? That is, a solution after a very long time.Hint: a steady-state solution does not depend on time.U(x) =help (formulas)

Here, given that ut=uxx+10 , 0<x<1, t>0 u0,t=0 u1,t=-3 We need to find the steady state…

Answered: |Consider the equation u, = uxx + 10, 0…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the equation ut=uxx+10, 0<x<1, t>0, that is, there is uniform heat source. Suppose further that ends are kept as u(0,t)=0,u(1,t)=−3. What is the steady state solution ?(?)U(x), if it exists? That is, a solution after a very long time.
Hint: a steady-state solution does not depend on time

U(x):

|Consider the equation u, = uxx + 10, 0 < x < 1, t > 0, that is, there is uniform heat source.
Suppose further that ends are kept as u(0, t) = 0, u(1, t) = -3. What is the steady state solution
U(x), if it exists? That is, a solution after a very long time.
Hint: a steady-state solution does not depend on time.
U(x) =
help (formulas)

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