Identify the differential equation that describes exponential decay of a quantity…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Identify the differential equation that describes exponential decay of a quantity

Q

with respect to time

t

. (a)

\dfrac{dQ}{dt}=0.4\,Q

(b)

\dfrac{dQ}{dt}=-0.4\,Q^{2}

(c)

\dfrac{dQ}{dt}=-0.4\,Q

(d)

\dfrac{dQ}{dt}=\dfrac{Q}{0.4}