Differential Equations 3 – Euler’s Method Since not all differential equation initial values problems (IVP) can be solved, it is often necessary to approximate the solution. There are several ways of doing this. The one that AP students are required to know is Euler’s Method. The idea behind Euler’s Method is to first write the equation…
Differential Equations 1 The next several posts will cover the fundamentals of the topic of differential equations at least as far as is needed for an AP Calculus course. We will begin at the beginning. What is a differential equation? A differential equation is an equation with one or more derivatives in it. It may be…
AP Type Questions 6 Differential equations are tested every year. The actual solving of the differential equation is usually the main part of the problem, but it is accompanied by a question about its slope field or a tangent line approximation or something else related. BC students may also be asked to approximate using Euler’s…
Accumulation 6: Differential equations When students first learn about antiderivatives, they are given simple initial value problems to solve such as . They are instructed to find the antiderivative, then tack on a +C , then substitute in the initial condition, then solve for C and finally write the particular solution. So we hope to see: But…
Teaching Calculus 