If both u(x,0)=φ(x) and Ut(x,0)=ψ(x) are odd functions of x, then the solution to wave equation u(x,t) is odd for all t.(adsbygoogle = window.adsbygoogle || []).push({});

odd means f(x)=- f(-x)

the general solution is

u(x,t)=(1/2)*[φ(x+ct)+φ(x-ct)]+(1/2c)*(integral ψ(s)ds, from x-ct to x+ct)

can anyone help?

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# Wave eqn with initial functions odd

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