**Hello everyone**

1. Homework Statement

1. Homework Statement

I have a homework question where I need to find out if the geometry is flat or not. The metric is shown below.

**2. Homework Equations**

**3. The Attempt at a Solution**

So far I have written the metric in the form guv but and I am trying to find coordinates in which it can be written as the standard Euclidean space matrix ds^2=dx^2+dy^2. I have no idea where to start and cannot seem to find the answer anywhere I look! I just need to know a systematic way of how to check whether it can be expressed as a flat metric or not.

Thanks

Josh