Question

Rabbits and Dogs!

A dog sees a rabbit running in a straight line across an open field and gives chase. In a rectangular coordinate system (will draw figure), assume:

Answer 1

i) Rabbit is at the origin and the dog is at the point (L,0) at the instant the dog first sees the rabbit.
ii) The rabbit runs up the y-axis and dog always runs straight for the rabbit.
iii) The dog runs at the same speed as the rabbit.

Answer 2

The question is...

Answer 3

Show that the dog's path is the graph of y=f(x), where y satisfies the differential equation
\[xy''=\sqrt{1+(y')^2}\]