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## Homework Statement

I am not even sure if the title is correct - it's day two of the class and I am already lost beyond belief. Anyway...here is the question.

Consider the equation (1) [tex]\frac{\partial u}{\partial t} + \frac{\partial u}{\partial x} = 0[/tex]

Where u=u(x,t) is the unknown function. If f is any differentiable function of a single variable and we set u(x,t)=f(x-t) then u is a solution of (1). I'm not sure this part is even needed.

Which solution of (1) is equal to xe^(-x^2) on the x-axis?

## Homework Equations

n/a

## The Attempt at a Solution

I have zero idea of where to start. Well, I could probably guess a solution from my ODE knowledge, but that isn't why I am taking this course. :)

Any tips, pointers, etc?