Wave equation problem - show that the wave eq. u(x,t) can be expressed as 1/2((fodd(x+ct)+fodd(x-ct)) - fodd being the odd periodic extension of f(x)
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First, in order to show that the statement in your problem-1 is true, we can use the result in your Ex 4.4.7) where F(x) is the odd periodic extension of f(x). So we should construct an odd periodic function in the ...
This is a wave equation with odd periodic extension.