Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I just registered to this forum, i'm working on the following problem.

In the picture you see a family of linear functions. I need to find a function that is tangent/'just touches' (to) the lines. I immediately thought of a tractrix, but it seems to be a little different. I'd like some help in the right direction.

Can I solve this using differential equations?

https://www.physicsforums.com/attachment.php?attachmentid=44496&stc=1&d=1330459648

View attachment 44499

thanks in advance

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding a formula for this curve

**Physics Forums | Science Articles, Homework Help, Discussion**