"Find the orthogonal trajectories of the family of curves .
I know the steps: 1) solve for c...okay... .
2)Find y', and plug the c back into it.
3) set dy/dx equal to the negative reciprocal of y' from pt. 2, and solve for y. This is the family of orth. traj.
My problem is finding y' for part 2. Well, I can find y', but getting it into a form so that I can solve for y in part 3.
y'=
Where should I go from here? Thanks!