[?] Indicate to W|A that variables are dependent, rather than independent?

Questions
,
1

I have seen that the Mathematica product can do this, but I’ve yet to figure out how to indicate to W|A that variables are dependent, rather than independent. I know that the product can do this, because equations such as finding d/dx of

xe^x=ye^x

produce correct answers … following along in the solutions. But if I take this result, properly reduced, d/dx of

\frac{y(x-1)}{x(y-1)}

it assumes that the variables are independent. I’ve tried all sorts of notation without finding a method to instruct to W|A that x and y are dependent variables. Thank you for any answers to my question. BTW I am a paying member of W|A. :slight_smile:

2

Can you use this

Dt[y(x-1)/(x(y-1)),x]

to help you get closer to where you want to go?

WA link

3

Yes, thank you! Strange that I could not find this under the PD examples or similar. But that did exactly work for me! I’ve been wrestling about this subject for quite a while. :slight_smile: Is there a website area where this syntax is explained?

4

.

Dt documentation link

5

Thank you very much. In all my years of using W|A I was never aware that you could make Mathematica or Mathematica-like calls directly. Great news! :slight_smile:

6

That doesn’t always work, but sometimes it can solve a problem that you can’t find any other solution to