(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rabbit starts at the origin and runs at speedaalong the right branch of the parabolay = x. At the same moment, a dog starts at the point (c,0) and runs at speed^{2}bdirectly 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 timetwould intersect the rabbit's position at the same time_{0}t. I have set_{0}y = tand^{2}x = t. I know I don't have much done. Any help to get me started would be appreciated.

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# Differential Equation - Path of Dog Chasing a Rabbit running in a curved path

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