(6.3.103) Solve an Initial Value Problem Using Convolution

January 26, 2023January 24, 2023 mathispower4u VIII. Differential Equations conditions, convolution, differential, equations, example, initial, inverse, james, Laplace, lesson, problem, solution, solve, sousa, transform, value

This video explains how to solve an initial value problem using convolution.

(6.3.102) Determine an Inverse Laplace Transform Using Partial Fractions

January 25, 2023January 24, 2023 mathispower4u VIII. Differential Equations decomposition, differential, equations, example, fraction, inverse, james, Laplace, lesson, partial, sousa, transform

This video explains how to use partial fractions to determine an inverse Laplace transform.

(6.3.102) Determine an Inverse Laplace Transform Using Convolution

January 25, 2023January 24, 2023 mathispower4u VIII. Differential Equations equations, differential, inverse, transform, example, james, sousa, lesson, Laplace, 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)

January 24, 2023January 23, 2023 mathispower4u VIII. Differential Equations by, convolution, definition, functions, integral, integration, inverse, james, Laplace, mathispower4u, ordinary, parts, sousa, t, transform, two

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

January 24, 2023January 23, 2023 mathispower4u VIII. Differential Equations convolution, definition, equation, integral, inverse, james, Laplace, solution, solve, sousa, transform, Volterra

This video explains how to solve a Volterra integral equation.

(6.3.2) Introduction to Using a Convolution to Solve an Initial Value Problem

January 23, 2023 mathispower4u VIII. Differential Equations by, convolution, definition, functions, initial, integral, integration, inverse, james, Laplace, mathispower4u, parts, problem, solve, sousa, t, transform, two, value

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

January 23, 2023 mathispower4u VIII. Differential Equations by, convolution, definition, functions, integral, integration, inverse, james, Laplace, mathispower4u, parts, sousa, t, transform, two

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

January 20, 2023 mathispower4u VIII. Differential Equations 4th, approximation, differential, equation, formulas, fourth, initial, james, kutta, order, problem, runge, Runge-Kutta, solution, sousa, value

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

January 9, 2023 mathispower4u VIII. Differential Equations differential, equation, equations, integral, integration, inverse, james, Laplace, property, shifting, sousa, transforms

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

January 9, 2023 mathispower4u VIII. Differential Equations change, differential, equations, heaviside, james, Laplace, mathispower4u, property, shifting, sousa, step, table, tau, transform, unit, variables

This video explains how solve a differential equation with a heaviside or unit step function using Laplace transforms.