Udemy - Differential Equations A-Z - Solve, Analyze, Apply torrent

Differential Equations A-Z: Solve, Analyze, Apply

https://WebToolTip.com

Published 4/2025
Created by Sadat Academy,Tara Sada
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Level: All | Genre: eLearning | Language: English | Duration: 29 Lectures ( 10h 51m ) | Size: 3.2 GB

Learn to Solve and Apply Differential Equations with Confidence – From First Principles to Laplace Transforms

What you'll learn
Understand what differential equations are and why they’re essential in science and engineering
Solve first order differential equations using methods like separation of variables, integrating factors, and exact equations
Analyze and sketch slope fields to visualize solutions
Apply first order equations to real-life scenarios such as exponential growth, decay, and mixing problems
Solve second order linear differential equations with both constant and variable coefficients
Model and analyze mechanical systems involving harmonic motion and damping
Use differential equations to describe and solve population models, velocity-acceleration relationships, and electric 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
Understand series solutions of differential equations near ordinary points
Build confidence in mathematical modeling and analytical thinking for technical fields

Requirements
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