1. The problem statement, all variables and given/known data Find the orthogonal trajectories of the family of curves. Use a graphing device to draw several members of each family on a common screen. y = x/(1+kx) 2. The attempt at a solution I have been trying this problem for hours, and I get a different answer every time. I have a big exam over this material tomorrow, and I just discovered that someone in this forum may be able to help me. Any help will be GREATLY appreciated! The following is my most recent attempt. This was after I got help from a friend. I know that it must be wrong, but it's as far as I have gotten. y = x/(1+kx) y' = dy/dx = x/[(x+kx)^2] slope of tangent line = x/[(x+kx)^2] slope of orthogonal line = -(1+kx)^2 dy = [-(1+kx)^2]dx After that, I am completely stuck. I do not think I am anywhere close to the answer. Also, I have no idea how to go about graphing it. Please help!