Primer on Solving Ordinary Differential Equations (CHAPTER 08.01)
Fundamental Theorem of Calculus Used to Finding an Integral as an Ordinary Differential Equation
Summary
Learn how we use the Fundamental Theorem of Calculus to find an integral by posing it as an ordinary differential equation. This will later allow hence then to use the numerical solution of ordinary differential equations as a method to numerically solve definite integrals.
Learning Objective
After watching this video, you will learn the fundamental theorem of calculus, and be able to pose a definite integral as an ordinary differential equation.
Annotated Slides
All Videos for this Topic
Exact Solution of 1st order ODE [YOUTUBE6:48]
Exact Solution of 1st order ODE: Another Example [YOUTUBE7:37]
Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation [YOUTUBE 8:50]
Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation [YOUTUBE 8:41]
Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation [YOUTUBE 9:34]
Complete Resources
Get in one place the following: Primer on ODE