A functiony(t) satisfies the equation: y′−12y= 2cos(t). Find all initial values y(0)=a such that (a) limt→∞y(t)>0 (b) limt→∞y(t) (c) limt→∞y(t) does not exist 6. A function y(t) satisfies the...

A functiony(t) satisfies the equation: y′−12y= 2cos(t). Find all initial values y(0)=a such that

(a) limt→∞y(t)>0

(b) limt→∞y(t)<>

(c) limt→∞y(t) does not exist

Extracted text: 6. A function y(t) satisfies the equation: 1 y' = 2 cos t Find all initial values y(0) = a such that (a) lim,»00 y(t) > 0. (b) lim,00 y(t) < 0.="" (c)="" lim,»0="" y(t)="" does="" not="">