A bacterial culture grows with growth constant for the first 3 hours and then decays…

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A bacterial culture grows with growth constant

k=0.40\,\text{hr}^{-1}

for the first 3 hours and then decays with constant

k=-0.30\,\text{hr}^{-1}

thereafter. If

N(0)=200

, calculate

N(5)