# Tag: Differential Equations for Engineers

## My #80 course certificate from Coursera

Differential Equations for EngineersThe Hong Kong University of Science and Technology By highlighting both theories and applications in...

## The Diffusion Equation of a Dye

Fourier Series Sometimes complicated motions can actually be composed of motions of many different frequencies. The type of mathematical analysis...

## Systems of Differential Equations

Systems of Homogeneous Linear First-order ODEs The system of linear first order homogeneous equations can be written in matrix...

## Laplace Transform and Series Solution Method

Laplace transform Laplace transform is a technique for solving differential equations. By using the Laplace transform you can...

## Inhomogeneous Linear Differential Equations

The general form of inhomogenous linear differential equations is: We need 2 initial conditions x(0) = x0, x'(0)...

## Homogeneous Linear Differential Equations

Linear homogeneous differential equation is the second-order ODEs that has the form below, It is important that the...

## First-Order Differential Equations

Euler Method Euler method is a very simple numerical method that can be used to solve differential equations....