As far as I know it is a separation of variables case, iff there would be no t in front of the du/dt. Or no -1.
You think of the solution
du / (u^2 -1) = dt / t ,
don't you?
But anyway thanks for your answer =)
Hey,
we have to solve the following problem for our ODE class.
Homework Statement
Find the solution of the initial value problem
dx/dt = (x^2 + t*x - t^2)/t^2
with t≠0 , x(t_0) = x_0
Describe the (maximal) domain of definition of the solution.
The Attempt at a Solution
Well...