You are Here: Home >< Physics

# Wave equations separation of variables

Announcements Posted on
Would YOU be put off a uni with a high crime rate? First 50 to have their say get a £5 Amazon voucher! 27-10-2016
1. Would appreciate some help with the above question.

For part a, i believe i correctly determined the separable solutions to be

X=cos(αx) or sin(αx)
T=cos(αct) or sin(αct)
Where alpha is just a constant

So a linear combination of these would be

y(x,t)=(Acos(αx) + Bsin(αx))(Ccos(αct) + Dsin(αct))

However when I apply the conditions given I can't seem to get any of the constants out, Im not sure if the solution I've found is wrong or if im not applying the conditons correctly, I would appreciate any help.

Thanks.
2. (Original post by Eremor)
Would appreciate some help with the above question.

For part a, i believe i correctly determined the separable solutions to be

X=cos(αx) or sin(αx)
Doesn't the second boundary condition restrict this to , so that you have:

So a linear combination of these would be

y(x,t)=(Acos(αx) + Bsin(αx))(Ccos(αct) + Dsin(αct))
?

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: April 22, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### University open days

Is it worth going? Find out here

### How to cope with a heavy workload

Poll
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.