Mathematics Homework Solutions
Problem
#10842

Use D'Alembert's Formula

Utt means the second derivative with respect to t
Uxx means the second derivative with respect to x

Utt = 4Uxx,   -(inf) < x < (inf),  t > 0
U(x,0) = x,
Ut(x,0) = xe^(-x^2)  for -(inf) < x < (inf)

Please use D'Alembert's Formula and show all work.
If there is Fourier series, please show how you got eigenvalues and eigenvectors. Also, please check your answer and make sure it is correct.
Thank you


Solution Summary

This shows how to use D'Alembert's formula to solve an equation.

Solution
What is this?
By OTA - Overall OTA Rating
Departed OTA
Purchase Cost Now
$2.19 CAD (was ~$15.96)
Included in Download
  • Plain text response
  • Attached file(s):
    • 108421.doc
$2.19 Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Sum of Series using Fourier Series - Use the Fourier series of the function f(x) and the properties of Fourier series to obtain the Fourier series of... (aee attachment for full question)
  • Fourier Series and Fourier Sine and Cosine Series - 1.) Find fourier series of f(x)=4, x greater than -3 and less than 3 and 2.) Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2 and 3.) Write the cosine and sine ...
  • Examples of Fourier series and sums of numerical series. - We use the Fourier expansions of certain poynomial functions to compute the sum of some useful numerical series. The formulas are quite general and give, at the end, the Fourier expansion of every p ...
  • Fourier series integration - The problems are from Fourier Series, Fourier Integral, and Fourier Transform. Please show each step of your solution. If there is anything unclear in the problem, let me know. Thank you.
  • Fourier Series of the Periodic Function - The answer is provided - please provide step by step work and explaination and solution. 4. Find the Fourier series of the periodic function attached...
Browse