Differential Equations
A differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two.
- What is a differential equation
- Separable Differential Equations
- Separable differential equations 2
- Exact Equations Intuition 1 (proofy)
- Exact Equations Intuition 2 (proofy)
- Exact Equations Example 1
- Exact Equations Example 2
- Exact Equations Example 3
- Integrating factors 1
- Integrating factors 2
- First order homegenous equations
- First order homogenous equations 2
- 2nd Order Linear Homogeneous Differential Equations 1
- 2nd Order Linear Homogeneous Differential Equations 2
- 2nd Order Linear Homogeneous Differential Equations 3
- 2nd Order Linear Homogeneous Differential Equations 4
- Complex roots of the characteristic equations 1
- Complex roots of the characteristic equations 2
- Complex roots of the characteristic equations 3
- Repeated roots of the characteristic equation
- Repeated roots of the characterisitic equations part 2
- Undetermined Coefficients 1
- Undetermined Coefficients 2
- Undetermined Coefficients 3
- Undetermined Coefficients 4
- Laplace Transform 1
- Logistic Differential Equation
- Euler’s Method – Another Example 2
- Euler’s Method – Another Example 1
- Solving a Separable Differential Equation, Another Example 5, Initial Condition
- Solving a Separable Differential Equation, Another Example 4, Initial Condition
- Basic Differential Equation with an Initial Condition
- Solving a Separable Differential Equation, Another Example 3
- Solving a Separable Differential Equation, Another Example 2
- Solving a Separable Differential Equation, Another Example 1
- Differential Equations – Basic Idea of What It Means to be a Solution
- First Order Linear Differential Equations / Integrating Factors – Ex 2
- Change of Variables / Homogeneous Differential Equation – Example 4
- Change of Variables / Homogeneous Differential Equation – Example 3
- Change of Variables / Homogeneous Differential Equation – Example 2
- Change of Variables / Homogeneous Differential Equation – Example 1
- The Inverse Laplace Transform – Example and Important Theorem
- Table of Laplace Transforms
- Laplace Transform 2
- Laplace Transform 3 (L{sin(at)})
- Laplace Transform 4
- Laplace Transform 5
- Laplace Transform 6
- Laplace Transform to solve an equation
- Laplace Transform solves an equation 2
- More Laplace Transform tools
- Using the Laplace Transform to solve a nonhomogenous eq
- Laplace Transform of : L{t}
- Laplace Transform of t^n: L{t^n}
- Laplace Transform of the Unit Step Function
- Inverse Laplace Examples
- Laplace/Step Function Differential Equation
- Dirac Delta Function
- Laplace Transform of the Dirac Delta Function
- Introduction to the Convolution
- The Convolution and the Laplace Transform
- Using the Convolution Theorem to Solve an Initial Value Prob
- Laplace Transform is a Linear Operator – Proof
- The Laplace Transform – More Derivatives
- The Laplace Transform, Basic Properties – Definitions and Derivatives
- The Laplace Transform – The Basic Idea of How We Use It
- The Logistic Equation and Models for Population – Example 1, part 2
- The Logistic Equation and Models for Population – Example 1, part 1
- The Logistic Equation and the Analytic Solution
- Power Series Solutions of Differential Equations
- Exact Differential Equations
- First Order Linear Differential Equations
- Reduction of Order, Basic Example