A$.$ Solve the following initial value problem:

cos$($t$)^(2)($dy$)/($dt$)=1$

with y$(22)=$tan$(22)$y as a function of t$.$y$=$

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

$($Your answer should involve pi$.)$

Answer: It is valid for

tC

C$.$ Find the limit of the solution as t approaches the left end of the interval. $($Your answer should be a

number or "PINF" or "MINF".

"PINF" stands for plus infinity and "MINF" stands for minus infinity.$)$

Answer:

D$.$ Similar to C$,$ but for the right end.

Answer: