I solved he homogeneous equation by means of separation of variables. But how can I write the boundary conditions to proceed to obtain the required solution?

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- Jan 6th 2014, 12:26 PM #1
## A PDE problem

Hi

**MHF**members,

I have the following*PDE*, how ever I do not know much about*PDE*s.

I am more an*ODE*guy. I would be glad if you can give me directions and/or

references for attacking the following equation

which represents the motion of an elastic bar of length

with a fixed end at and the other one is free.

It reminds me the heat equation when I factor this into components as

,

how ever the coefficients are complex valued.

I believe there should be another way.

- Jan 6th 2014, 09:30 PM #2

- Jan 6th 2014, 10:16 PM #3

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- Jan 6th 2014, 10:54 PM #4
## Re: A PDE problem

Here is the OP's post with the equations fixed...

I have the following PDE, how ever I do not know much about PDEs.

I am more an ODE guy. I would be glad if you can give me directions and/or

references for attacking the following equation

which represents the motion of an elastic bar of length

with a fixed end at and the other one is free.

It reminds me the heat equation when I factor this into components as

,

how ever the coefficients are complex valued.

I believe there should be another way.