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Differential Equations: Definitions and Terminology (Level 1 of 4) | Order, Type, Linearity
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Differential Equations - Differential Equations: Definitions and Terminology (Level 1 of 4) | Order, Type, Linearity - Inhaltsangabe:
This video introduces the basic definitions and terminology of differential equations. The topics covered include classification of differential equations by type, order and linearity.
Differential Equations: Definitions and Terminology (Level 2 of 4) | Classification Examples I
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Differential Equations - Differential Equations: Definitions and Terminology (Level 2 of 4) | Classification Examples I - Inhaltsangabe:
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.
Differential Equations: Definitions and Terminology (Level 3 of 4) | Classification Examples II
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Differential Equations - Differential Equations: Definitions and Terminology (Level 3 of 4) | Classification Examples II - Inhaltsangabe:
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.
Differential Equations: Definitions and Terminology (Level 4 of 4) | Classification of PDE
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Differential Equations - Differential Equations: Definitions and Terminology (Level 4 of 4) | Classification of PDE - Inhaltsangabe:
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.
Differential Equations: Solutions (Level 1 of 4) | Interval of Definition, Solution Curves
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Differential Equations - Differential Equations: Solutions (Level 1 of 4) | Interval of Definition, Solution Curves - Inhaltsangabe:
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.
Differential Equations: Solutions (Level 2 of 4) | Verifying Solutions I
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Differential Equations - Differential Equations: Solutions (Level 2 of 4) | Verifying Solutions I - Inhaltsangabe:
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.
Differential Equations: Solutions (Level 3 of 4) | Verifying Solutions II
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Differential Equations - Differential Equations: Solutions (Level 3 of 4) | Verifying Solutions II - Inhaltsangabe:
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.
Differential Equations: Solutions (Level 4 of 4) | Verifying Solutions to PDE
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Differential Equations - Differential Equations: Solutions (Level 4 of 4) | Verifying Solutions to PDE - Inhaltsangabe:
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.
Differential Equations: Implicit Solutions (Level 1 of 3) | Basics, Formal Solution
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Differential Equations - Differential Equations: Implicit Solutions (Level 1 of 3) | Basics, Formal Solution - Inhaltsangabe:
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.
Differential Equations: Implicit Solutions (Level 2 of 3) | Verifying Solutions I
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Differential Equations - Differential Equations: Implicit Solutions (Level 2 of 3) | Verifying Solutions I - Inhaltsangabe:
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.
Differential Equations: Implicit Solutions (Level 3 of 3) | Verifying Solutions II
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Differential Equations - Differential Equations: Implicit Solutions (Level 3 of 3) | Verifying Solutions II - Inhaltsangabe:
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.
Differential Equations: Families of Solutions (Level 1 of 4) | Particular, General, Singular, Piece
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Differential Equations - Differential Equations: Families of Solutions (Level 1 of 4) | Particular, General, Singular, Piece - Inhaltsangabe:
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.
Differential Equations: Families of Solutions (Level 2 of 4) | Verifying General Solutions
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Differential Equations - Differential Equations: Families of Solutions (Level 2 of 4) | Verifying General Solutions - Inhaltsangabe:
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.
Differential Equations: Families of Solutions (Level 3 of 4) | Implicit One-Parameter Solutions
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Differential Equations - Differential Equations: Families of Solutions (Level 3 of 4) | Implicit One-Parameter Solutions - Inhaltsangabe:
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.
Differential Equations: Families of Solutions (Level 4 of 4) | Piecewise Defined Solutions
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Differential Equations - Differential Equations: Families of Solutions (Level 4 of 4) | Piecewise Defined Solutions - Inhaltsangabe:
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.
Differential Equations: Systems of Differential Equations | Basics, Verifying Solutions to ODE
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Differential Equations - Differential Equations: Systems of Differential Equations | Basics, Verifying Solutions to ODE - Inhaltsangabe:
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.