This video explains how to solve an initial value problem using convolution.
(6.3.102) Determine an Inverse Laplace Transform Using Partial Fractions
This video explains how to use partial fractions to determine an inverse Laplace transform.
(6.3.102) Determine an Inverse Laplace Transform Using Convolution
This video explains how to use convolution to determine an inverse Laplace transform.
(6.3.101) Find the Convolution of Two Functions (Integration by Parts Twice)
This video explains how to determine the convolution of two functions. It requires integration by parts twice.
(6.3.3) Solving a Volterra Integral Equation
This video explains how to solve a Volterra integral equation.
(6.3.2) Introduction to Using a Convolution to Solve an Initial Value Problem
This video explains how a convolution can be used to solve an initial value problem.
(6.3.1) Introduction to the Convolution and Using the Convolution to Find an Inverse Laplace Transform
This video introduces the convolution of two functions. The lesson also explains how to find an inverse Laplace transform using a convolution.
4th Order Runge-Kutta Method for Approximating a Solution to a First Order IVP
This video provides an example on how to use the formulas for the 4th order Runge-Kutta method to approximate a solution to a 1st order initial value problem.
(6.2.103) Determine the Transfer Function of a First Order Differential Equation
This video explains how to determine the transfer function of a first order ODE.
(6.2.102) Solve an ODE with a Heaviside Function using Laplace Transforms
This video explains how solve a differential equation with a heaviside or unit step function using Laplace transforms.