You're not going to be able to eliminate them. You will need two points that lie on the curve in order to create two equations in two unknowns that you can solve for and .
I'm trying eliminate the constants in this equation. I took the first and second derivative, but it's not working. Any suggestions?
I doubt that very much. Because that question makes no sense. How do you expect anyone to help if you cannot accurately post the whole question.
Perhaps the question asks you to find a differential equation such that the arbitrary constant are eliminated. In which case, the answer is .