00:01
So in this question, we have a differential equation of y prime, going to x, cosine, squared, y.
00:10
This is a separable equation, and we need to find the general solution.
00:14
So y prime can be rewritten as dy over dx.
00:19
And then because these are separable equations, all we need to do is put x on one side and then all the y is on the other side.
00:26
So it becomes d -y over cosine squared y, x, d -x.
00:33
Now, all we need to do is we need to take the integral of both sides.
00:37
And we know, looking at our trig derivative table, we know that 1 over cosine squared x, so the derivative of 1 over cosine -squared x, right? so for integral, it's going to be the other way around...