# 2.4.1 find interval

#### karush

##### Well-known member

doing #1

ok first I divided thru

$$y' + \frac{\ln{t}}{t-3}y=\frac{2t}{t-3}$$

but the $$\exp\int p(t) \, dt$$ step kinda baloated???

ok I see the denominator has $t-3$ so presume 3 is one of the interval ends
but why 0. ?

book answwer is

#### Country Boy

##### Well-known member
MHB Math Helper
"Baloated"?

The reason for the restriction x> 0 is the "ln(x)" term.

#### Country Boy

##### Well-known member
MHB Math Helper
I am not sure what you are asking. Do you know what "$Li_2(x)$" is?

#### topsquark

##### Well-known member
MHB Math Helper
yeah how would this really work $e^{p}$
But your problem statement said not to solve the equation. So why are you introducing the $$\displaystyle e^p$$ into your solution?

-Dan