When I type the following into Mathematica, it just returns it back to me unchanged:
DSolve[{y'[t] == (y[t] - v t) x'[t]/x[t], y'[t]^2 + x'[t]^2 == u^2}, {x[t], y[t]}, t]
x[t]
and y[t]
are coordinates of the dog whose speed is u
and whose velocity is always directed at the rabbit whose position is v*t on the y-axis.
How can I get Mathematica to solve this?