#### HALEY PHAM

##### New member

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- Jun 22, 2022

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- Thread starter HALEY PHAM
- Start date

- Joined
- Jun 22, 2022

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- Joined
- Jun 18, 2007

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I started by solving like I would do with any wave equation but couldn't understand how to incorporate the Robin IC.

got stuck!

could really use your help!

This almost looks like equation of heat transfer in a plate. I have NOT solved this problem - but I would start with the assumption:

u (x, t) = P(x) * Q(t)

Please show us what you have tried and

Please

Please share your work/thoughts about this problem

- Joined
- Jun 22, 2022

- Messages
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I started by solving like I would do with any wave equation (and got to the left and right mover F(x), G(x) - am I supposed to sum them and get the d'Alembert formula?)

but couldn't understand how to incorporate the Robin boundary conditions.

- Joined
- Jun 18, 2007

- Messages
- 27,458

I happened to forget to add the c^2 in the first equation indicating this is in fact a wave equation.

So post the corrected equation after inserting c^2.

I started by solving like I would do with any wave equation (and got to the left and right mover F(x), G(x) - am I supposed to sum them and get the d'Alembert formula?)

Please share your work - as far as you have progressed.

\(\displaystyle u_{tt} - c^2u_{xx} = 0\)

\(\displaystyle u(x,t) = \phi(x + ct) + \psi(x - ct)\)

Hint: