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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''-kc

^{2}T=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?