Watch Differential Equations

1969
1 Season

This course is a study of ordinary differential equations with applications in the physical and social sciences. Topics include: Definitions and Terminology, Solutions, Implicit Solutions, Families of Solutions and Systems of Differential Equations.

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Seasons

16. Systems of Differential Equations | Basics, Verifying Solutions to ODE

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video covers the basics of systems of ordinary differential equations. This video also goes over two examples illustrating how to verify solutions to systems of differential equations.

15. Families of Solutions (Level 4 of 4) | Piecewise Defined Solutions

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over an example illustrating how to verify a particular solution of the one-parameter family of solutions, specifically a piecewise defined solution.

14. Families of Solutions (Level 3 of 4) | Implicit One-Parameter Solutions

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify Implicit One-Parameter Family of solutions.

13. Families of Solutions (Level 2 of 4) | Verifying General Solutions

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify general solutions of ordinary differential equations.

12. Families of Solutions (Level 1 of 4) | Particular, General, Singular, Piece

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over families of solutions. In addition, particular solutions, general solutions, singular solutions, and piecewise-defined solutions are also presented.

11. Implicit Solutions (Level 3 of 3) | Verifying Solutions II

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate intervals of definition.

10. Implicit Solutions (Level 2 of 3) | Verifying Solutions I

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate intervals of definition.

9. Implicit Solutions (Level 1 of 3) | Basics, Formal Solution

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over implicit solutions of differential equations. The concept of a formal solution is also presented.

8. Solutions (Level 4 of 4) | Verifying Solutions to PDE

This video introduces the basic concepts associated with solutions of partial differential equations. This video goes over 3 examples illustrating how to verify solutions to partial differential equations.

7. Solutions (Level 3 of 4) | Verifying Solutions II

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 slightly more challenging examples illustrating how to verify solutions to differential equations. In addition this video also covers how to determine an appropriate interval of definition.

6. Solutions (Level 2 of 4) | Verifying Solutions I

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify solutions to differential equations. In addition this video also covers how to determine an appropriate interval of definition.

5. Solutions (Level 1 of 4) | Interval of Definition, Solution Curves

This video introduces the basic concepts associated with solutions of ordinary differential equations. Topics covered include: Solution to an ODE, Interval of definition, and solution curves.

4. Definitions and Terminology (Level 4 of 4) | Classification of PDE

This video introduces the basic definitions and terminology of differential equations. This video goes over 8 examples covering how to classify Partial Differential Equations (PDE) by order and linearity.

3. Definitions and Terminology (Level 3 of 4) | Classification Examples II

This video introduces the basic definitions and terminology of differential equations. This video goes over 6 examples covering how to classify ordinary differential equations by order and linearity.

2. Definitions and Terminology (Level 2 of 4) | Classification Examples I

This video introduces the basic definitions and terminology of differential equations. This video goes over 4 basic examples covering how to classify ordinary differential equations by order and linearity.

1. Definitions and Terminology (Level 1 of 4) | Order, Type, Linearity

This video introduces the basic definitions and terminology of differential equations. The topics covered include classification of differential equations by type, order and linearity.

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