Welcome to Wolfram Community! Please make sure you know the rules: https://wolfr.am/READ-1ST

For your future posts. The rules explain how to format your code properly. Images don't help other members to copy your code. Please EDIT your post and make sure code blocks start on a new paragraph and look framed and colored like this.

int = Integrate[1/(x^3 - 1), x];
Map[Framed, int, Infinity]

You can also embed notebook or attach notebook.

I searched community.wolfram.com and didn't find a question or answer like what you are looking for.

But I did a broader search and think I might have found something that may help you.

Look at the first answer to this question

FindFit error when fitting a parametric function to data

You can scrape and paste the code from that into your notebook and should be able to verify, as I just did, that that code still works. It is fitting three parameters in two DE to some data points.

If you are very careful and you translate your problem into exactly the same form then I think this might give you the solution that you are looking for and you can get your work done.