CS370 Lecture 3: Unit 3 ODEs (complete)
4 Feb 2018
School
Department
Course
Professor
Document Summary
Most ordinary differential equations (odes) are not solvable on paper. Here"s how we deal with them using computers. Goal: to learn a standard formulation for ordinary differential equations. We will refer to as a "state variable". This is a differential equation (de) because it involves a derivative. If we could find a function that satisfies , then would be called the "solution" of the de. Odes page 2 called the "solution" of the de. An initial value problem consists of two parts: Goal: expand our formulation of ivps to include "events". Golfer hits the ball with initial velocity vector. Another example of a higher-order ode converted into a system of first- order odes. Think of a fox chasing a rabbit, or a heat-seaking missile fired at a jet. The pursuer moves with speed directly at the target at all times. We multiply it by to get the velocity vector for the pursuer.
