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## Homework Statement

Consider the PDE:

[tex]2dz/dx[/tex] - [tex]dz/dy[/tex] = 0

How can I show that if f(u) is differentiable function of one variable, then the PDE above is satisfied by z = f(x +2y)?

Also, the change in variables t = x+2y, s=x reduces the above PDE to [tex]dz/dt[/tex] = 0. But how can I show this?

## The Attempt at a Solution

I simply don't understand, these are my notes from class today and I want to understand while it's early... All I know is that this involves the chain rule.