We can write the given wave equation as:
, 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:
Which of the following wave functions satisfies the wave equation
1. D(x,t) = Acos(kx+ωt)
2. D(x,t) = Asin(kx+ωt)
3. D(x,t) = A(cos kx + cos ωt)
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the The Mathematical Description of a Wave concept. You can view video lessons to learn The Mathematical Description of a Wave. Or if you need more The Mathematical Description of a Wave practice, you can also practice The Mathematical Description of a Wave practice problems.