Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist. (enter your answer using interval notation.) t(t − 9)y' + y = 0, y(1) = 1
If either [tex]t=0[/tex] or [tex]t=9[/tex], the ODE has the trivial solution [tex]y=0[/tex], but [tex]y(1)=1\neq0[/tex]. So any solution to the ODE that satisfies the initial condition can only exist on the interval [tex]0<t<9[/tex].
