1. The problem statement, all variables and given/known data A rabbit starts at the origin and runs at speed a along the right branch of the parabola y = x2. At the same moment, a dog starts at the point (c,0) and runs at speed b directly towards the rabbit. Write a differential equation for the path of the dog. 2. Relevant equations I'm assuming I have to find the slope of the tangent line of the dog's path at some point, factoring in the speeds of the animals. 3. The attempt at a solution I'm pretty well stuck at the beginning on this one. I've drawn a diagram, but I'm not sure how to factor in the speeds of the animals. I understand the tangent line of the path of the dog at any time t0 would intersect the rabbit's position at the same time t0. I have set y = t2 and x = t. I know I don't have much done. Any help to get me started would be appreciated.