For a differentiable function satisfying

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

For a differentiable function

y(t)

satisfying

\dfrac{dy}{dt}=ky

, which of the following equals its relative rate of change

\dfrac{1}{y}\,\dfrac{dy}{dt}

? (a)

k y

(b)

k

(c)

e^{k t}

(d)

k t