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Hi,

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

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

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