Udemy – Differential Equations A-Z: Solve, Analyze, Apply 2025-4

Udemy – Differential Equations A-Z: Solve, Analyze, Apply 2025-4 Downloadly IRSpace

Aug 16, 2025 - 07:19 Updated: Aug 17, 2025 - 19:57

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Udemy – Differential Equations A-Z: Solve, Analyze, Apply 2025-4

Differential Equations A-Z: Solve, Analyze, Apply is a basic to advanced differential equations course published by Udemy Online Academy. It is a comprehensive course designed to move learners from basic to advanced concepts of differential equations, combining theory, problem-solving strategies, and real-world applications. Whether you are a student, engineer, or math enthusiast, this course provides a structured path to mastering ordinary differential equations (ODEs) and partial differential equations (PDEs) in a variety of fields. Differential equations are powerful tools behind many of these real-world phenomena. In this comprehensive course, you will learn the fundamental methods for solving differential equations and see how they apply directly to science and engineering problems.

You will explore real-world applications such as modeling chemical mixtures and exponential decay. From there, we move on to second-order equations, which are essential for understanding motion, vibrations, and inertial systems. Through population models, stability analysis, and simulations of electrical circuits and mechanical systems, you’ll see how differential equations bring theoretical mathematics to life. Finally, you’ll become proficient with Laplace transforms and series solutions—powerful tools for solving initial value problems and handling more complex differential systems. By the end, you’ll not only be confident in your mathematical skills, but you’ll be ready to apply them to scientific and engineering fields.

What you will learn in Differential Equations A-Z: Solve, Analyze, Apply:

Understand what differential equations are and why they are important in science and engineering
Solve first-order differential equations using methods such as separation of variables, integration of factors, and exact equations
Analyze and plot slope fields to visualize solutions
Apply first-order equations to real-world scenarios such as exponential growth, decay, and mixing problems
Solve second-order linear differential equations with fixed and variable coefficients
Model and analyze mechanical systems including harmonic motion and damping
Use differential equations to describe and solve population models, velocity-acceleration relationships, and electrical circuits
Learn and apply the Laplace transform to solve initial value problems
Use Laplace techniques including step functions and partial fractions for more complex models
And…

Course specifications

Publisher: Udemy
Instructors: Sadat Academy and Tara Sada
Language: English
Level: Introductory to Advanced
Number of Lessons: 29
Duration: 10 hours and 51 minutes

Course topics

Differential Equations A-Z Solve, Analyze, Apply Content

Differential Equations A-Z: Solve, Analyze, Apply Prerequisites

No prior knowledge of differential equations is required — this course starts from the fundamentals
A scientific calculator or math software (e.g., Desmos, WolframAlpha, or a CAS tool) may be helpful for solving and visualizing problems
Uunderstanding of calculus, including derivatives and integrals
Familiarity with basic algebra and functions (exponential, logarithmic, trigonometric)
Some experience with graphing and interpreting mathematical models

Udemy – Differential Equations A-Z: Solve, Analyze, Apply 2025-4