00:02
In this problem, we want to show that the given equation z, satisfy the wave equation, where the wave equation states that d squared, z, d, y, squared, equals c squared, d squared, d squared, z, d squared, d squared, d squared, d squared, d x.
00:13
The function z is natural logarithm of x plus c.
00:18
Y.
00:19
So, to solve, what we need to do is use partial derivatives, which means we're going to use single variable differentiation techniques with respect to our differentiating variable, treating other variables as constants along the way.
00:27
This is showcased in the derivative here.
00:31
Thus, to solve, what we need to do is find the correct partial derivatives for our function, d squared z, z, d squared, z, d, z, d, x squared, and d squared z, d x squared...