Math - Differential Equations
Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.
- Introduction to differential equations
- 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
- 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