Differential Equations - College - Maths Rocket

In Mathematics, a differential equation is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point. It is mainly used in fields such as physics, engineering, biology and so on. The primary purpose of the differential equation is the study of solutions that satisfy the equations and the properties of the solutions.

Course Content

Introduction to Differential Equations

First-Order Differential Equations

Linear Differential Equations

Separable Differential Equations

Exact Differential Equations

Integrating Factors

Applications of First-Order Differential Equations

Growth and Decay Models

Mixing Problems

Newton’s Law of Cooling

Second-Order Differential Equations

Homogeneous Linear Equations

Non-Homogeneous Linear Equations

Method of Undetermined Coefficients

Variation of Parameters

Applications of Second-Order Differential Equations

Mechanical Vibrations

Electrical Circuits

Forced Oscillations and Resonance

Higher-Order Differential Equations

Reduction of Order

Higher-Order Homogeneous Equations

Method of Successive Approximations

Systems of Differential Equations

Linear Systems with Constant Coefficients

Phase Plane Analysis

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About Instructor

Hossam Diab

Mathematics & Physics Educator. I'm focused on expanding my educational impact by developing online courses and considering ventures in both education and technology. My passion for integrating technology with education is demonstrated through my work on developing the platform MathsRocket.Online, aimed at providing quality online Mathematics & Physics education.

14 Courses

Differential Equations – College

Course Content

First-Order Differential Equations

About Instructor

Hossam Diab

Course Includes