Dive into a comprehensive 2.5-hour video series on differential equations, covering basics, separable equations, linear equations, and real-world modeling applications. Learn to solve first and second-order equations, verify solutions, and tackle initial value problems. Explore practical applications such as exponential growth, Newton's Law of Cooling, disease spread, and rate-in-rate-out scenarios. Master the fundamentals and advanced concepts of differential equations through clear explanations and diverse examples.
Overview
Syllabus
Differential Equations: Basics - 01. Introduction.
Differential Equations: Basics - 02. Solving an equation.
Differential Equations: Basics - 03. Solving a second order equation.
Differential Equations: Basics - 04. Verifying solutions.
Differential Equations: Basics - 05. Verifying an implicit solution.
Differential Equations: Separable - 01. Intro.
Differential Equations: Separable - 02. Example 1.
Differential Equations: Separable - 03. Example with IVP.
Differential Equations: Separable - 04. Example - Implicit solution.
Differential Equations: Separable - 05. Example -Logistic equation.
Differential Equations: Linear - 01. Intro.
Differential Equations: Linear - 02. General Solution.
Differential Equations: Linear - 03. Example 1.
Differential Equations: Linear - 04. Example 2.
Differential Equations: Linear - 05. Example 3 - IVP.
Differential Equations: Modelling - 00. Falling Objects.
Differential Equations: Modelling - 01. Exponential Growth.
Differential Equations: Modelling - 02. Newton's Law of Cooling.
Differential Equations: Modelling - 03. Disease Spread.
Differential Equations: Modelling - 04. Disease Spread 2.
Differential Equations: Modelling - 05. Rate In, Rate Out - Intro.
Differential Equations: Modelling - 06. Rate In, Rate Out - Example 1.
Differential Equations: Modelling - 07. Rate In, Rate Out - Example 2.
Taught by
Sean Fitzpatrick
