Homework Help Question & Answers

3. [-12 Points] DETAILS ZILLDIFFEQMODAP115.2.011. Find the eigenvalues in and eigenfunctions yn(x) for the given boundary-value...

3. [-12 Points] DETAILS ZILLDIFFEQMODAP115.2.011. Find the eigenvalues in and eigenfunctions yn(x) for the given boundary-val

3. [-12 Points] DETAILS ZILLDIFFEQMODAP115.2.011. Find the eigenvalues in and eigenfunctions yn(x) for the given boundary-value problem. (Give your answers in terms of n, making sure that each value of n corresponds to a unique eigenvalue.) y" + 2y = 0, y'O) = 0, y(L) = 0 in = n = 1, 2, 3, ... yn(x) = n = 1, 2, 3, ... Need Help? Read It Talk to a Tutor
0 0
Next > < Previous
ReportAnswer #1

7 Given y + y = 0 yo) = 0, Y (L) = 0. Son Let x 0. Then Y = AX + B. A Now y(x) Since no prolono y(o) = - A = 0. Now Y (4)from ① and - AL AL e ML 7o. This A=o, B= B=0 Y() = 0 Since Y(+) to. So there is ho eigen function corresponding to x = hl. xThis Ato Hence Cosal=0 =) AL = 2n-1) 4 2 n=1,2,3,- 7 n = (2n-1) * 2 L BE Wing we have y(x) = Acos (2n-1)A. a 2L and A2 n=12).

Know the answer?
Add Answer of:
3. [-12 Points] DETAILS ZILLDIFFEQMODAP115.2.011. Find the eigenvalues in and eigenfunctions yn(x) for the given boundary-value...
Your Answer: Your Name: What's your source?
Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
Free Homework App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
Share Your Knowledge

Post an Article
Post an Answer
Post a Question with Answer

Self-promotion: Authors have the chance of a link back to their own personal blogs or social media profile pages.