The Mathematical Description of a Wave Video Lessons

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Problem: Which of the following wave functions satisfies the wave equation1. D(x,t) = Acos(kx+ωt)2. D(x,t) = Asin(kx+ωt)3. D(x,t) = A(cos kx + cos ωt)

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We can write the given wave equation as:

2y(x,t)x2=1v22y(x,t)t2, where y(x,t) id the wave function and v is the wave velocity.

We differentiate the wave function in option 1. with respect to time by position coordinate x.

Now we have:

y(x,t)x=-kAsin(kx+ωt)2y(x,t)x2=-k2Acos(kx+ωt)

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Problem Details

Which of the following wave functions satisfies the wave equation

Which of the following wave functions satisfies th


1. D(x,t) = Acos(kx+ωt)

2. D(x,t) = Asin(kx+ωt)

3. D(x,t) = A(cos kx + cos ωt)

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