What’s a possible one-word replacement for “applicable in every situation”?

Solution 1:

Universal

adapted or adjustable to meet varied requirements (as of use, shape, or size)

  • a universal gear cutter

  • universal remote control

Solution 2:

General, especially in mathematics:

involving, relating to, or applicable to every member of a class, kind, or group

the general equation of a straight line

One option you have is to say what the equation is rather than what it isn’t, such as: “This equation applies only to a special case.”