Course Resources Math 2120

Chapter 8 - Series Solutions 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 homogenous 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 characteristic 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 of cosine and polynomials
• Laplace Transform to solve an equation
• Laplace Transform solves an equation 2
• More Laplace Transform tools
• Using the Laplace Transform to solve a nonhomogeneous 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