![Certificate Differential Equations for Engineers](https://kzhu.ai/wp-content/uploads/2021/12/Coursera-FVEGAX3XS994-1024x791.jpg)
My #80 course certificate from Coursera
Differential Equations for EngineersThe Hong Kong University of Science and Technology By highlighting both theories and applications in...
![Fourier series](https://kzhu.ai/wp-content/uploads/2021/12/Differential-Equations-For-Engineers-43-793x1024.jpg)
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...
![System of linear first order ODEs, Distinct real eigenvalues](https://kzhu.ai/wp-content/uploads/2021/12/Differential-Equations-For-Engineers-39-793x1024.jpg)
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](https://kzhu.ai/wp-content/uploads/2021/12/Differential-Equations-For-Engineers-33-793x1024.jpg)
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. Exponential functions. Sine or Cosine (Part A).](https://kzhu.ai/wp-content/uploads/2021/11/Differential-Equations-For-Engineers-10-793x1024.jpg)
Inhomogeneous Linear Differential Equations
The general form of inhomogenous linear differential equations is: We need 2 initial conditions x(0) = x0, x'(0)...
![Euler method for higher-order ODEs. The principle of superposition. The Wronskian.](https://kzhu.ai/wp-content/uploads/2021/11/Differential-Equations-For-Engineers-6-793x1024.jpg)
Homogeneous Linear Differential Equations
Linear homogeneous differential equation is the second-order ODEs that has the form below, It is important that the...
![Euler method. Runge-Kuta methods. Separable first-order ODEs.](https://kzhu.ai/wp-content/uploads/2021/11/Differential-Equations-For-Engineers-2-793x1024.jpg)
First-Order Differential Equations
Euler Method Euler method is a very simple numerical method that can be used to solve differential equations....