Undergrad DEs - Constants in Exercises: Why Not in General Forms?

[Admiralibr123]

I have just started out with ODE's and in none of the general form in the classification have I seen a term with no variable but some questions do have constants in the exercise. I am just confused as to why are they not in general forms. Are they redundant? Do they not contribute anything to the solution?

 

[fresh_42]

An example of what you mean would be helpful. Otherwise it's almost impossible to understand what you are talking about.

 

[Mark44]

I have just started out with ODE's and in none of the general form in the classification have I seen a term with no variable but some questions do have constants in the exercise. I am just confused as to why are they not in general forms. Are they redundant? Do they not contribute anything to the solution?

If I understand what you're asking, they wouldn't be in some list of general formulas because they are trivial to solve.
Here's an example: $\frac {dy}{dx} = 2$
Solution: y = 2x + C, where C is an arbitrary constant. The solutions are a family of lines with slope 2, but with different y intercepts.

If this isn't what you're asking about, please be more specific in your question.