(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A stretched string occupies the semi-infinite interval -[tex]\infty[/tex]<x[tex]\leq[/tex]0.

y(x,t) := f(x-ct) + f(-x-ct) is a solution of the wave equation.

What boundary condition does y satisfy at x=0?

Describe what is going on in terms of incident and reflected waves.

2. Relevant equations

3. The attempt at a solution

Is the boundary condition just y(0,t) = 2f(-ct)?

At x=0, the displacement varies as a function of time so the end is not fixed. However, I'm unsure about how this relates to incident and reflected waves.

(I worked out that if y(x,t) = f(x-ct) - f(-x-ct) then f(x-ct) represented the incident wave and -f(-x-ct) represented the reflected wave.)

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# Homework Help: PDEs - wave equation

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