Differential Equations

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
Systems of Differential Equations | Basics, Verifying Solutions to ODE
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.
Families of Solutions (Level 4 of 4) | Piecewise Defined Solutions
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.
Families of Solutions (Level 3 of 4) | Implicit One-Parameter Solutions
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.
Families of Solutions (Level 2 of 4) | Verifying General 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.
Families of Solutions (Level 1 of 4) | Particular, General, Singular, Piece
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.
Implicit Solutions (Level 3 of 3) | Verifying Solutions II
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.
Implicit Solutions (Level 2 of 3) | Verifying Solutions I
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.
Implicit Solutions (Level 1 of 3) | Basics, Formal Solution
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.
Solutions (Level 4 of 4) | Verifying Solutions to PDE
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.
Solutions (Level 3 of 4) | Verifying Solutions II
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.
Solutions (Level 2 of 4) | Verifying Solutions I
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.
Solutions (Level 1 of 4) | Interval of Definition, Solution Curves
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.
Definitions and Terminology (Level 4 of 4) | Classification of PDE
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.
Definitions and Terminology (Level 3 of 4) | Classification Examples II
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.
Definitions and Terminology (Level 2 of 4) | Classification Examples I
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.
Definitions and Terminology (Level 1 of 4) | Order, Type, 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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