Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
psk981
Group Title
consider a boundary value problem y"+ky=0, y(0)=0, Y(pi/2)=0. is it possible to determine the values k for trivial solutions. (b) nontrivial.
 2 years ago
 2 years ago
psk981 Group Title
consider a boundary value problem y"+ky=0, y(0)=0, Y(pi/2)=0. is it possible to determine the values k for trivial solutions. (b) nontrivial.
 2 years ago
 2 years ago

This Question is Closed

malevolence19 Group TitleBest ResponseYou've already chosen the best response.0
\[y''+ky=0 \implies y=A \cos(\sqrt k t)+B \sin(\sqrt k t)\] From here you can plug in the initial conditions
 2 years ago

across Group TitleBest ResponseYou've already chosen the best response.0
Since the boundary conditions are homogeneous, your nontrivial solution (the case \(k>0\)) will be a Fourier sine series. For \(k\leqslant0\), you'll get trivial solutions.
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.