Find the orthogonal trajectories of the family of curves consisting of all circles passing through the points and .
In a previous exercise (section 8.22, Exercise #12) we found that the family of all circles passing through the points and satisfy the differential equation
Therefore, the orthogonal trajectories satisfy the differential equation
I’m having some trouble with this one… does anybody have a clue? :'(
Not even Wolfran helps me with this one.