A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
solve for T.
(d^2)/(dx^2)*T+(d^2)/(dy^2)*T=2*(pi^2)*sin(pi*x)*sin(pi*y)
I think you have to do method of separation of variables and then some eigenvalue/function thing...? But I'm not sure of the exact steps.
anonymous
 5 years ago
solve for T. (d^2)/(dx^2)*T+(d^2)/(dy^2)*T=2*(pi^2)*sin(pi*x)*sin(pi*y) I think you have to do method of separation of variables and then some eigenvalue/function thing...? But I'm not sure of the exact steps.

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Can I walk you through it instead of just doing it for you?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sure, grateful for any help! did i get the method correct?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0To be honest, I don't know the names of stuff, but you're correct that you have to somehow separate out the T. If you look at the equation you're given, you see that there are two terms that have T in them, right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes i thought maybe i could do a double integral of (d^2/dx^2)*T=sin(pi*x) and do an analogous equation for the y and then add the two answers

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh wait, is dx a single variable?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I thought this was just algebra.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i mean it as second derivative of T when I write (d^2/dx^2)*T

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, okay. I get it now. I just didn't understand the notation written out like that I guess. So yes, double integral is the way to go.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and then just add the two solutions? sorry  dont have a math textbook with me. i think i need a quick refresher.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but remember that when you write the double integral, you have to make sure to include everything on one side, not just the parts you want.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i see. so on the right hand side, i keep the same but then take the double integral with respect to x, and then respect to y?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hold on, this is more complicated than I originally thought, so I'm doing it out on paper first to see how it works.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so I'm not sure exactly how to do this, but I think I can tell you if you're wrong/why something wouldn't work.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok. so this is what i did before i get stuck: 1. the solution is some generalized u=X(x)Y(y) 2. plug this general solution into the original equation 3. i get: y((d^2/dx^2)*x)+((d^2/dx^2)y)*x = 2*(pi^2)*sin(pi*x)*sin(pi*y) 4. stuck! :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it's ok i think i'll just move on to something else thanks for your time and effort! i appreciate it. :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah, sorry about that.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.