Ok, so I have a nonlinear ODE:
y'=(y^2)+(t^2)+(t^2)(sin(t))^2
y is a function of t.
the problem sounds like this: Determine a non-trivial upper bound on the domain of existence for the forward solution with initial
condition y(0) = 0.
So basically I don't even understand the question. Should I find the solution and then search for the upper bound of this function? Maybe some hints how to do that?
Sorry for the sloppy writing.
Thanks.