Question: Solve for ?(x, t) leaving your answer in SIMPLEST form, 1/?2 ??/?t = ?2?/?x2 , 9. (14 Marks) (a) Obtain the eigenvalues and eigenvectors, dx2

Solve for ?(x, t) leaving your answer in SIMPLEST form, 1/?2 ??/?t = ?2?/?x2 ,

9. (14 Marks) (a) Obtain the eigenvalues and eigenvectors, dx2 d'y = ly, 0 0. (i) wx(0, t) = [arb(x,t) ax 1=0 = 0. (ii) wx( n, t) = [o(x,t) ax =7 = 0. (iii) w(x,0) = f(x). You may use , cosmx cos kxdx = , m = k N 0, m * k

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

Hi, I'm studying for my test and would like some answers/feedback to check against. Can I get help with the uploaded document (Math 130 2017) particularly 4, 8, 9 &10? 1. [12 Marks] 2. [12 Marks}...

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

What is Exercise 32-45? I don't quite understand it, so I'm not sure if my work or answers are correct. Linear Algebra Lab Exercises Linear algebra deals with vectors and linear functions that act on...

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

6.1. Carbondale Company has the following credit policy 2/10, net 30. Carbondale also charges 1% per month interest on all accounts after 30 days. The following table shows the collection schedule of...

8.1. Dulles Electric Company buys 1 million tons of coal annually to burn at its power plant. The company wants to invest in a unit train that will haul coal from the mine to the power house, where...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Solve. the following questions as attached below. b) Given a matrix Aman with m # n, write an algorithm / pseudo code to determine the singular value decomposition, using only the function [ E, V] =...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

a. The mean and standard deviation of a sample of 100 are x = 10 and s = 1. Estimate the population mean with 95% confidence. b. Repeat part (a) with s = 4. c. Repeat part (a) with s = 10. d. Discuss...

Let P denote the price of a product that is produced using a single input whose price is W. The demand function for the product is Qd = 10 -, and the supply function is Qs = if P > Wand Qs = 0 if P ...

b ) Stocks A and B have the same price and are in equilibrium, but Stock A has the higher required rate of return and lower dividend yield. Is Stock A ' s expected capital gains yield higher or lower...

Module 3 - Content Video Understand Tort Law in 17 Minutes (Part II) https://www.youtube.com/watch?v=stH_iC5uGkA 1. What was the most interesting, effective or important video? 2. A short paragraph...