Hey guys,

i have a small question. 1D-Wave equation is given as:

i need to find

From the equation form above , U_xx=

U_tt= are obtained as given as a solution.

My question is how is obtained from

thank you,

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- March 29th 2009, 02:57 AMAli SuraSolving 1-d wave equation
Hey guys,

i have a small question. 1D-Wave equation is given as:

i need to find

From the equation form above , U_xx=

U_tt= are obtained as given as a solution.

My question is how is obtained from

thank you, - March 29th 2009, 12:42 PMHallsofIvy
What are your boundary conditions? That is what determines k.

- March 29th 2009, 05:27 PMAli Sura
Two Boundary conditions are:

1)

2)

thanks,

- March 30th 2009, 06:01 AMHallsofIvy
If

Then so X(0)= 0.

Also so X(1)= 1.

Now, and so the partial differential equation becomes for all x and t and so we must have for all x.\

Can you solve the ordinary differential equation with the boundary conditions X(0)= 0, X(1)= 1?