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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
Teach online with
Inverse Laplace Transforms Using Integrals
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