What is the difference between the equation of waves y=Asin(wt-kx) & y=Asin(kx-wt).

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Solution

The two equations:

y = Asin(kx−wt)

y = Asin(wt−kx) = −Asin(kx−wt)

Now the difference between these two equation can be realized by setting t=0, setting these value of t gives us these two equations

y = Asin(kx−w⋅0) = Asin(kx)

y = −Asin(kx−w⋅0) = −Asin(kx)

Now can you see the difference, the differences are:

The second equation starts with the negative(−ve) value of y, while the first with the positive(+ve) value.

There is an initial phase shift of 180° for the second wave.

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