Video shows example of using the Laplace transform to solve a differential equation. Problem is continued in next video. [10:51]

Video is first part of showing what happens in a secondnd order linear homogeneous differential equation when the roots of the characteristic equation are complex. Includes using Euler's formula. [10:27]

Video shows an example of using substitution to solve a first order homogeneous differential equation. [8:22]

Video first shows what homogeneous means in terms of differential equations, then shows how to use substitution to find solutions to the homogeneous differential equation. [7:21]

Video continues from the previous video to show how to use the Laplace transform to solve a differential equation. [10:46]

Video continues from previous video showing what happens when the roots of the characteristic equation are complex and deriving a formula for the general solution. Shows an example problem applying the formula derived to determine the...

Video shows what happens when the characteristic equation has repeated roots. Explains why just using the one root will not give a correct general equation. Shows an example of solving a differential equation where the characteristic...

Video shows example of using formula derived in previous video for general solution of a differential equation when characteristic equation has complex roots. Includes using initial conditions to determine a particular solution. Shows...

Video shows an example of solving a second order linear homogeneous differential equation. Includes how to write the solution in a general form using the properties of homogeneous equations shown in the previous video. Briefly discusses...

Video first explains what 2nd order linear differential equations are, then shows that a constant times a known solution to a 2nd order linear homogenous differential equation is also a solution and that the sum of two known solutions is...

Video continues from previous video where a general solution to a secondnd order linear homogeneous differential equation was found. Extends showing how to use initial conditions to find a particular solution. [5:59]

Video shows example of solving a second order linear homogeneous differential equation when the characteristic equation has repeated roots. Includes using initial conditions to find a particular solution. [8:52]

This lesson explains the formula, definition, and application of the Euler Formula. It is 4 of 5 in the series titled "Euler's Formula."

This lesson explains the formula, definition, and application of the Euler Formula. It is 3 of 5 in the series titled "Euler's Formula."

Video shows an example of solving a second order linear homogeneous differential equation. Includes how to write the solution in a general form using the properties of homogeneous equations.

Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.

This video shows how to use some initial conditions to solve for a particular solution.

This lesson will introduce the systematic classification of matter used in chemistry, defining the terms heterogeneous, homogeneous, pure substance, mixture, compound, element and providing examples.

This lesson explains the formula, definition, and application of the Euler Formula. It is 1 of 5 in the series titled "Euler's Formula."

This lesson explains the formula, definition, and application of the Euler Formula.