Light of intensity (in lumens) travels through a fog bank of thickness meters

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Light of intensity

I(x)

(in lumens) travels through a fog bank of thickness

x

meters. The rate at which the intensity decreases with respect to

x

is proportional to the current intensity. Write the differential equation relating

\dfrac{dI}{dx}

I