Description
3 mathematics questions,
make sure on time, and good quality
thank you
3 attachmentsSlide 1 of 3attachment_1attachment_1attachment_2attachment_2attachment_3attachment_3
Unformatted Attachment Preview
1. (15 Points). Let f(x) = cosc.
(a) Find the Fourier sine series for f on the interval [0, 1].
(b) Find the Fourier cosine series for f on the interval [0, 1].
2. (15 Points). Solve the heat equation for a bar of length L = n and thermal diffusivity
k=1, with the specified boundary conditions and initial conditions
ди au
(0 < x 0)
at
Əx2
ди
ди
(0,t) (7,t) = 0 (t > 0)
ax
дх
u(x,0) = cos x.
=
(Note: You may use the results from question 1.)
3. (15 Points). Solve Laplace’s equation in the square, with the specified boundary
conditions
au
Әr2
+
azu
= 0 (0
Purchase answer to see full
attachment
Tags:
Math Problems
eigenvalues
mathematics Questions
Fourier sine series
boundary problem
User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.
Reviews, comments, and love from our customers and community: