# 10最好的微分方程式教程推荐

"This post includes affiliate links for which I may make a small commission at no extra cost to you should you make a purchase." 有数以千计的在线课程和课程可以帮助您提高 微分方程式 技能并获得 微分方程式 证书。

## 10最好的微分方程式教程推荐

### 1. A Complete First Course in Differential Equations 经过 Chris Levy Udemy课程 我们的最佳选择

A University Level Introductory Course in Differential Equations

Introduction to Differential Equations and their Applications
First Order Differential Equations
Higher Order Differential Equations
Laplace Transforms
Power Series Methods
Partial Differential Equations and Fourier Series
Sturm-Liouville Eigenvalue Problems and Theory
Nonlinear Systems
Numerical Solutions to Differential Equations

### 2. System Dynamics and Controls 经过 “Cherish Qualls, PhD” Udemy课程

Mathematical Modeling of Systems and More

System Modeling
State Space Representation
Time Response
Block Diagrams
Stability and Routh’s Criterion
Root Locus
Modeling Electrical Circuits

### 3. Differential Equations with the Math Sorcerer 经过 The Math Sorcerer Udemy课程

Complete Differential Equations Course with TONS of worked problems and assignments:)

Introduction to the Course
Separable Differential Equations
First Order Linear Differential Equations
Exact Differential Equations
First Order Homogeneous Differential Equations
Bernoulli Differential Equations
Differential Equations of the form dy/dx = f(Ax + By + C)
Introduction to the Theory of Higher Order Equations
Solving Higher Order Homogeneous Linear Differential Equations
Finding the Differential Equation given the Solution
The Method of Undetermined Coefficients
Variation of Parameters
Cauchy-Euler Differential Equations
The Definition of the Laplace Transform
Computing Laplace Transforms using Formulas
Computing Inverse Laplace Transforms using Formulas
Computing Inverse Laplace Transforms using Partial Fractions
The First Translation Theorem(Shifting Theorem)
Laplace Transforms using Product to Sum Identitites
The Derivative of Transforms Theorem
Solving Differential Equations with Laplace Transforms
The Unit Step Function
The Dirac Delta Function
The Second Translation Theorem
Differential Equations with Dirac Delta
Power Series and Differential Equations

### 4. Become a Differential Equations Master 经过 Krista King Udemy课程

“Learn everything from Differential Equations, then test your knowledge with 680+ practice questions”

Getting started
First order equations
Second order equations
Modeling with differential equations
Series solutions
Laplace transforms
Systems of differential equations
Higher order equations
Fourier series
Partial differential equations
Final exam and wrap-up

### 5. Complete Differential Equations in depth:Basics to advance 经过 Vishwesh Singh Udemy课程

Engineering mathematics:Complete Differential Equations course(Ordinary Differential Equation).

Introduction
Variable Seperable method
Homogeneous Differential equation
Linear differential equation and Integrating factor
Solving differential equation by Inspection Method
Bernoulli’s differential equation
Exact Differential equation
Non Exact Differential Equation
Clairaut’s differential equation
Higher oder differential equation(Concept of CF and PI)
Euler cauchy differential equations
Solving Differential Equation by Variation of Parameters

### 6. Differential Equations In Depth 经过 Dmitri Nesteruk Udemy课程

“An in-depth course on differential equations, covering first/second order ODEs, PDEs and numerical methods, too!”

Introduction to Differential Equations
First-Order Differential Equations
Second-Order Differential Equations
Laplace Transform
Fourier Series
Partial Differential Equations
Numerical Methods
End of Course

### 7. Calculus 3 for who completed Calculus 1 & Calculus 2 经过 Math Kishore Reddy Udemy课程

“*UPDATED* This Calculus 3 course is for Pre-Calculus, Calculus 1 and Calculus 2 Students”

“Become a Calculus 3 Master (Multivariable Calculus)
3d Coordinate System | Calculus 3
Vector Calculus | Calculus 3
Important basic concepts to understand Calculus 3
Partial Derivatives
Differential Equations
First order differential equations – Types
Second Order Differential Equations
Green’s Theorem, Gauss Divergence Theorem and Strokes Theorem
Calculus 3 | Review
Assignment for Practice”

### 8. Ordinary Differential Equations: 30+ Hours! 经过 “Kvasir Education, Bar Movsowowitz, Prop sA” Udemy课程

Most clear and informative Ordinary Differential Equations course out there! Dozens of Examples and Exercises.

“First Order Linear Equations – Introduction
First Order Linear Equations – Separable Equations
First Order Linear Equations – Homogeneous Equations
First Order Linear Equations – Homogeneous After Substitution
First Order Linear Equations – Exact Equations
First Order Linear Equations – Integration Factor
First Order Linear Equations – Linear Equations
First Order Linear Equations – Bernoulli Equations
First Order Linear Equations – Ricatti Equations
First Order Linear Equations – Existence And Uniqueness
Second Order Linear Equations – Missing X Or Y, Reduction Of Order
Second Order Linear Equations – Linear, Homogeneous, Constant Coefficients
Linear, Nonhomogeneous, Constant Coefficients – Method Of Undetermined Coefficie
Linear, Nonhomogeneous, Constant Coefficients – Method Of Variation Of Parameter
Second Order Linear Equations – Euler’s Equation
SOLE – Linear, Homogeneous, Non-Constant Coefficients – 2nd Solution Method
Second Order Linear Equations – The Wronskian And Its Uses
Second Order Linear Equations – Sturm-Liouville Problems
N-th Order Linear Equations – Linear, Homogeneous, Constant Coefficients
N-th Order Linear Equations – Method Of Undetermined Coefficients
N-th Order Linear Equations – The Wronskian And Its Uses
Systems Of Linear ODEs – Linear Algebra – Eigenvalues And Eigenvectors
S.O.L ODEs – 1st Order Homogeneous With Constant Coefficients – Diagonalization
1st Order Nonhomogeneous With Constant Coefficients – Variation Of Parameters
Systems of Linear ODEs – The Substitution Method
Solving Lin. ODEs w/ Power Series – Nonhomogeneous Equation Around Regular Point
Lin. ODEs w/ Power Series – Homogeneous Equation Around Regular-Singular Point
The Laplace Transform – The Laplace Transform
The Laplace Transform – The Inverse Laplace Transform
The Laplace Transform – Solving ODEs With The Laplace Transform
Word Problems
Phase Planes – Phase Planes
Graphical And Numerical Methods – Graphical And Numerical Methods”

An Advanced Course in Differential Equations and Laplace Transform

Introduction
Revision and Brief Explanation of Section 1

### 10. The Numerical Solution of ODE’s and PDE’s 经过 Robert Spall Udemy课程

Introductory numerical methods to solve ordinary and partial differential equations

Introduction and Course Content
Ordinary Differential Equations: Initial Value Problems
Ordinary Differential Equations: Boundary Value Problems
Ordinary Differential Equations: Eigenvalue Problems
Elliptic Partial Differential Equations
Solving Parabolic Partial Differential Equations

## 下面是一些关于学习的常见问题微分方程式

### 学习微分方程式需要多长时间？

“学习微分方程式需要多长时间”这个问题的答案是。 . .这取决于。每个人都有不同的需求，每个人都在不同的场景下工作，所以一个人的答案可能与另一个人的答案完全不同。