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Differential Equations

Introduction to Differential Equations

Starting Differential Equations (5:56)
Differential Equations Solutions (12:19)
Direction Fields (12:03)

Euler's Method

Starting Euler’s Method (13:22)
Solving Differential Equations using Euler’s Method (13:25)
Practice Questions

Separable Differential Equations

Solving Separable Differential Equations (16:05)
Solving Using a Change of Variable Substitution (10:50)
Initial Value Problems (14:35)
Practice Questions

Exact Differential Equations

Practice Questions

Linear First-Order Differential Equations

Starting Linear First-Order Differential Equations (13:50)
Solving Linear First-Order Differential Equations Using an Integrating Factor (13:38)
Initial Value Problems (11:47)
Practice Questions

Second-Order Homogeneous Differential Equations

Starting Second-Order Homogeneous Differential Equations (13:44)
Characteristic Equation with Distinct Real Roots (9:56)
Characteristic Equation with Equal Roots (10:16)
Characteristic Equation with Complex Roots (14:12)
Initial Value Problems (14:30)
Practice Questions

Second-Order Non-Homogeneous Differential Equations

Starting Second-Order Non-Homogeneous Differential Equations (6:01)
Method of Undetermined Coefficients (27:53)
Practice Questions

Reducible Differential Equations

First Order Reducible Differential Equations (23:50)
Second Order Reducible Differential Equations (35:17)
Practice Questions

Laplace Transforms

Starting Laplace Transforms (4:27)
Laplace Transforms from the Definition (28:19)
Properties of the Laplace Transform (10:29)
Laplace Transforms from the Table (17:14)
Practice Questions

Methods of Laplace Transforms

Inverse Laplace Transforms (11:21)
Inverse Laplace Transforms Using Integrals (22:32)
Laplace Transforms of Derivatives of Functions (9:29)
Laplace Transforms and Initial Value Problems (15:54)
Practice Questions

Series Solutions to Differential Equations

Taylor Series Solutions (7:04)
Solving Differential Equations Using Taylor Series (14:03)
Practice Questions

Modelling with Differential Equations

Practice Questions

Additional Resources

Formula List
Laplace Transforms

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