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erok81
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Homework Statement
Solve the boundary value problem for a string of unit length, subject to the given conditions.
[tex]f(x)=0.05sin \pi x, g(x)=0, c=\frac{1}{\pi}[/tex]
Homework Equations
Model: u(x,t)=X(x)T(t)
Which yields two separated equations by the one dimensional wave equation.
X''-kX=0 and T''-kc2T=0
The Attempt at a Solution
This is my first problem using this new tool to solve PDE's, so I'll probably need a few tips along the way.
So I start by solving X''-kX=0 since my boundary conditions are in x. (is this right? the book's example starts like that)
This is the point I am stuck on. I think in order to start solving I need to apply the boundary conditions, I assume to avoid non trivial solutions? I can start solving my new ODE in x, but I think I am missing a step in-between?