wave equation - method of reflection
Hey, I'm a bit confused on how to implement the method of reflection (is that the correct term?) on the wave equation.
The exercise is in the attached file.
I've extended f(x) to the whole line using even continuation. I guess I'm supposed to do the same thing for g(x).. so I did.
I know how to write the first term of u(x,y), but I'm having trouble with the second term. How is this integral can be simplified?
Also, when I did the continuation for f(x) I've drawn arrows (red) for each segment. the arrows represent the so called "direction" of the function (from 0 to 1). Is that always the case?
Thank you in advance
*sorry for the spelling mistakes (Happy)