00:01
Problem number seven asking us to prove that this equation here is a function or is there does satisfy the wave equation here.
00:09
If we do that, we're going to do this for first side first, which is w or partial of w with respect to t squared.
00:20
So let's look at this here.
00:21
So we have w, partial of w with respect to t.
00:24
We're going to start with the first derivative.
00:26
It's the same as w of f of u.
00:30
Or gt, and if we put our u in, partial, f of the function, a is a constant, and we can start to take the derivative.
00:48
So we're to have f prime of u times the derivative of our inside, which will be a times and then taking the second partial, the same as should be a t.
01:23
So this here is the same as this.
01:25
We can put in what we just solved for.
01:29
Partial, interceptive t, f prime of u, times ac, and this is just f prime of u, ac...
