Given the differential equation and initial condition
where a > 0 {\displaystyle a>0} is a constant, which of the following is true?
(a) lim t → ∞ y ( t ) = 0 {\displaystyle \lim _{t\to \infty }y(t)=0}
(b) lim t → ∞ y ( t ) = ∞ {\displaystyle \lim _{t\to \infty }y(t)=\infty }
(c) lim t → ∞ y ( t ) = a {\displaystyle \lim _{t\to \infty }y(t)=a}
(d) lim t → ∞ y ( t ) = 2 a {\displaystyle \lim _{t\to \infty }y(t)=2a}
(e) None of the above.
is a constant, which of the following is true?
