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# Wave equations separation of variables watch

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))
?

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Updated: April 22, 2016
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