textbook-theory · English
Difference Equations to Differential Equations: Section 6.3 — Models of Growth and Decay
Section 6.3 of Dan Sloughter's open calculus textbook covers mathematical models of growth and decay using differential equations. Topics include compound interest (continuous compounding limit), uninhibited exponential growth and decay (population growth, carbon-14 dating), and the logistic differential equation for inhibited growth with solved examples fitting US population data. The section includes 14 practice problems.
exponential growth and decaylogistic differential equationcompound interestradioactive decay