This section begins with a discussion of exponential growth and decay, which you have probably already seen in calculus. We consider applications to radioactive decay, carbon dating, and compound inte...This section begins with a discussion of exponential growth and decay, which you have probably already seen in calculus. We consider applications to radioactive decay, carbon dating, and compound interest. We also consider more complicated problems where the rate of change of a quantity is in part proportional to the magnitude of the quantity, but is also influenced by other other factors for example, a radioactive susbstance is manufactured at a certain rate, but decays at a rate proportional
This page covers applications of first-order differential equations, focusing on exponential growth and decay, including radioactive decay, carbon dating, and compound interest. It discusses complex g...This page covers applications of first-order differential equations, focusing on exponential growth and decay, including radioactive decay, carbon dating, and compound interest. It discusses complex growth scenarios, Newton's law of cooling, motion in resistive media, and mixing problems. Additionally, it introduces orthogonal trajectories and pursuit curves, alongside exercises for practical comprehension.
