# -2.4.2 interval of initial value problem

• MHB
Gold Member
MHB
Determine an interval in which the solution of the given initial value problem is certain to exist

$t(t-4)y'+y=0 \quad y(2)=2\quad 0<t<4$

ok my first step was isolate y'
s
$y'=-\dfrac{y}{t(t-4)}$

not sure what direction to go since we are concerned about an interval

HOI
Well, the problem specifically says "0< t< 4" and y' does not exist at t= 0 and t= 4.

Gold Member
MHB
how does y(2)=2 fit into this
doesn't that give us specific y interval