Suppose that a quantity y = y(t) has an exponential decaymodel with decay constant k >

Chapter 8, Problem 3

(choose chapter or problem)

Suppose that a quantity $y=y(t)$ has an exponential decay model with decay constant $k>0$.

(a) $y(t)$ satisfies a first-order differential equation of the form $dy/dt$ = ________.

(b) In terms of $k$, the half-life of the quantity is ________.

(c) If $y_{0}=y(0)$ is the initial amount of the quantity, then an explicit formula for $y(t)$ is given by $y(t)$ = ________.

Equation Transcription:

$y\ =\ y(t)$

$k\ \ >\ 0$

$y(t)$

$dy/dt$

$k$

${y}_{0}\ \ =\ y(o)$

$y(t)$

Text Transcription:

y = y(t)

k > 0

y(t)

dy/dt

y_0 = y(0)

y(t)

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