Differential Equations

By ResearcherStore Categories: C-Science
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About Course

This course is a study of ordinary differential equations (DE) with applications in the physical and social sciences.

Topics include Definitions and Terminology, Solutions, Implicit Solutions, Families of Solutions, and Systems of Differential Equations.

This course contains a series of video tutorials that are broken up into various levels. Each video builds upon the previous one. Level I videos lay out the theoretical framework to successfully tackle problems covered in the next videos.

These videos can be used as a stand-alone course or as a supplement to your current DE class.

This course is for anyone who wants to fortify their understanding of differential equations or anyone that wishes to learn DE can benefit from this course.

Who this course is for:

  1. College Students
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What Will You Learn?

  • Fortify your understanding of Differential Equations

Course Content

Differential Equations

  • The Plan for Differential Equations
    00:00
  • Solving Homogeneous First Order Differential Equations
    00:00
  • Solving Differential Equations with a Composition
    00:00
  • How to Solve Bernoulli Differential Equations
    00:00
  • Solving Differential Equations with Embedded Derivative Substitutions
    00:00
  • How Embedded Derivatives Can Make Differential Equations Easier
    00:00
  • Reducible Second Order Differential Equations, Missing Y
    00:00
  • Reducible Second Order Differential Equations, Missing X
    00:00
  • What are Exact Differential Equations
    00:00
  • Solving Exact Differential Equations
    00:00
  • Integrating Factor for Exact Differential Equations
    00:00
  • Introduction to Population Models and Logistic Equation
    00:00
  • Basic Population Models in Differential Equations
    00:00
  • Birth Rates and Death Rates in Differential Equations
    00:00
  • Using Partial Fractions in Differential Equations
    00:00
  • Population Growth and Decline
    00:00
  • Equilibrium Solutions and Stability of Differential Equations
    00:00
  • Stability of Critical Points
    00:00
  • Substitutions for Homogeneous First Order Differential Equations
    00:00
  • Mixture Problems in Linear Differential Equations
    00:00
  • Introduction to Differential Equations
    00:00
  • Checking Solutions in Differential Equations
    00:00
  • Introduction to Initial Value Problems
    00:00
  • Introduction to Time Rate of Change
    00:00
  • Solving Basic Differential Equations with Integration
    00:00
  • Differential Equations with Velocity and Acceleration
    00:00
  • Problem Solving with Velocity and Acceleration
    00:00
  • Introduction to Slope Fields
    00:00
  • Applications of Slope Fields
    00:00
  • Existence and Uniqueness of Solutions
    00:00
  • Separable Differential Equations
    00:00
  • Separable Equations with Initial Values
    00:00
  • Applications with Separable Equations
    00:00
  • Introduction to Linear Differential Equations and Integrating Factors
    00:00
  • Solving Linear Differential Equations with an Integrating Factor
    00:00
  • Domain Restrictions In Differential Equations and Integrating Factors
    00:00
  • Special Integration in a Linear Differential Equation Problem
    00:00
  • Harvesting Populations in Differential Equations
    00:00

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