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Differential Equations and Separation of Variables

Solving basic differential equations by moving all terms containing a specific variable to one side of the equation and integrating.

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Foundations of Differential Equations

Introduces the fundamental concepts of differential equations (DEs). Learn what a DE is, its order, and how to distinguish between general and particular solutions. This is the first step before learning how to solve th…

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Foundations of Differential Equations
Introduces the fundamental concepts of differential equations (DEs). Learn what a DE is, its order, and how to distinguish between general and particular solutions. This is the first step before learning how to solve them.
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Foundations of Differential Equations
Introduces the fundamental concepts of differential equations (DEs). Learn what a DE is, its order, and how to distinguish between general and particular solutions. This is the first step before learning how to solve them.
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Applications of Separable Differential Equations
Explore real-world applications modeled by separable differential equations, including exponential growth/decay, Newton's Law of Cooling, and the concept of orthogonal trajectories.
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Applications of Separable Differential Equations
Explore real-world applications modeled by separable differential equations, including exponential growth/decay, Newton's Law of Cooling, and the concept of orthogonal trajectories.
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Solving DEs: The Method of Separation of Variables
Focuses on the core technique for solving first-order separable differential equations. Learn to identify, separate, and integrate to find the general solution, which often appears in implicit form.
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Solving DEs: The Method of Separation of Variables
Focuses on the core technique for solving first-order separable differential equations. Learn to identify, separate, and integrate to find the general solution, which often appears in implicit form.
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Initial Value Problems and Particular Solutions
Learn how to use an initial condition to find a specific constant of integration (C), transforming a general solution into a unique particular solution for an initial value problem (IVP).
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Initial Value Problems and Particular Solutions
Learn how to use an initial condition to find a specific constant of integration (C), transforming a general solution into a unique particular solution for an initial value problem (IVP).
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