Thread: A PDE transformation

Hi there,
In the notes I'm reading, they have stated the following PDE:
.
Then, by defining:

The PDE becomes, in terms of v:

I don't see how they made this transformation. Should I taking partial derivatives of u as a function of v?

Thanks for your time.

Should I taking partial derivatives of u as a function of v?

I would write u as a function of v and the exponential function there. That is,



Then start taking the partial derivatives you need to assemble the ingredients of your first equation. Then plug everything in and simplify.

Cheers.

Did you get your answer?

Yeah, took a bit, but I got it out. Thanks for your advice.

You're welcome. Have a good one!