3. Use the method of separation of variables to solve the problem ㅠ U=aU, € [0,j] t20, U(x,0) = sinx, U (0,t) = 0, U₂(t) = 0. Plot the solutions at several instants of time and describe in qualitative terms the behaviour of the solution to as too. What is limt → U(x, t)? (Observe that this problem has mixed boundary conditions Dirichlet to the left and Neumann to the right.)

3. Use the method of separation of variables to solve the problem ㅠ U=aU, € [0,j] t20, U(x,0) = sinx, U (0,t) = 0, U₂(t) = 0. Plot the solutions at several instants of time and describe in qualitative terms the behaviour of the solution to as too. What is limt → U(x, t)? (Observe that this problem has mixed boundary conditions Dirichlet to the left and Neumann to the right.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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