A bacterial population (in thousands of cells) satisfies

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A bacterial population

P

(in thousands of cells) satisfies

\dfrac{dP}{dt}=0.8P

, where

t

is measured in hours. Given

P(0)=2.0

, approximate

P(1)

using four equal time steps of length

0.25

hour. State your answer to three decimal places with appropriate units.