Consider the following initial value problem:

$(t^2-22t+105)\frac{dy}{dt}=y$ with $y(11)=1$

A$.$ Solve the initial value problem $($find $y$ as a function of $t.)$

$y=$

B$.$ On what interval is the solution valid?

It is valid for

$tt$

$C.$ Find the $limitof$ the solution $ast$ approaches the left end $of$ the interval.

Answer:

$D.$ Find the $limitof$ the solution $ast$ approaches the right end $of$ the interval.

Answer: