Given dydt=−0.1y\frac{dy}{dt} = -0.1ydtdy=−0.1y with y(0)=100y(0) = 100y(0)=100, what happens to y(t)y(t)y(t) as t→∞t \to \inftyt→∞?
y(t)→100y(t) \to 100y(t)→100
y(t)→0y(t) \to 0y(t)→0
y(t)→−∞y(t) \to -\inftyy(t)→−∞
y(t)y(t)y(t) oscillates.