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
Filename Size ~Get Your Files Here !/1 - Solving First Ordered Differential Equations/1 -Differential Equations.mp4 91.5 MB ~Get Your Files Here !/1 - Solving First Ordered Differential Equations/2 -Integrarals as Solutions and Slope Fields.mp4 75.5 MB ~Get Your Files Here !/1 - Solving First Ordered Differential Equations/3 -Separable Equations and Applications.mp4 43.9 MB ~Get Your Files Here !/1 - Solving First Ordered Differential Equations/4 -Linear First-Ordered Equations.mp4 80 MB ~Get Your Files Here !/1 - Solving First Ordered Differential Equations/5 -Homogeneous Equations.mp4 84 MB ~Get Your Files Here !/1 - Solving First Ordered Differential Equations/6 -Bernoulli Equations.mp4 52.9 MB ~Get Your Files Here !/1 - Solving First Ordered Differential Equations/7 -Exact Equations.mp4 31.4 MB ~Get Your Files Here !/2 - Second Ordered Differential Equations/1 -Second Ordered Linear Equations.mp4 111.8 MB ~Get Your Files Here !/2 - Second Ordered Differential Equations/2 -General Solutions of Linear Equations.mp4 119 MB ~Get Your Files Here !/2 - Second Ordered Differential Equations/3 -Homogeneous Equations with Constant Coefficients.mp4 76 MB ~Get Your Files Here !/2 - Second Ordered Differential Equations/4 -Mechanical Vibration Free Unmaped Motion.mp4 99.6 MB ~Get Your Files Here !/2 - Second Ordered Differential Equations/5 -Mechnical Vibration Free Damped Motion.mp4 150.7 MB ~Get Your Files Here !/2 - Second Ordered Differential Equations/6 -Nonhomogeneous Equations and Undetermined Coefficients (or annihilation).mp4 302.7 MB ~Get Your Files Here !/2 - Second Ordered Differential Equations/7 -Variation of Parameters.mp4 79.8 MB ~Get Your Files Here !/2 - Second Ordered Differential Equations/8 -Forced Oscillations and RCL Circuits.mp4 166.7 MB ~Get Your Files Here !/3 - Systems of Differential Equations/1 -Homogeneous Systems of Differential Equations.mp4 140.8 MB ~Get Your Files Here !/3 - Systems of Differential Equations/2 -Nonhomogeneous Systems of Differential Equations.mp4 135.2 MB ~Get Your Files Here !/3 - Systems of Differential Equations/3 -Matrices and Linear Systems.mp4 100 MB ~Get Your Files Here !/3 - Systems of Differential Equations/4 -The Eigenvalue Method for Homogeneous Systems.mp4 112.2 MB ~Get Your Files Here !/3 - Systems of Differential Equations/5 -Multiple Eigenvalue Solutions.mp4 98.9 MB ~Get Your Files Here !/3 - Systems of Differential Equations/6 -Nonhomogeneous Linear Systems.mp4 118.2 MB ~Get Your Files Here !/4 - Applications of Differential Equations/1 -Population Models.mp4 84.3 MB ~Get Your Files Here !/4 - Applications of Differential Equations/2 -Acceleration-Velocity Models.mp4 59.7 MB ~Get Your Files Here !/5 - Laplace Transforms and Series Solutions/1 -Laplace Transforms by Definition.mp4 103.6 MB ~Get Your Files Here !/5 - Laplace Transforms and Series Solutions/2 -Solving Differential Equations with Laplace Transofrms.mp4 121.2 MB ~Get Your Files Here !/5 - Laplace Transforms and Series Solutions/3 -Partial Fraction and Laplace Transforms.mp4 138.3 MB ~Get Your Files Here !/5 - Laplace Transforms and Series Solutions/4 -Introduction and Review of Power Series.mp4 198.4 MB ~Get Your Files Here !/5 - Laplace Transforms and Series Solutions/5 -Ordinary Points.mp4 62.7 MB ~Get Your Files Here !/5 - Laplace Transforms and Series Solutions/6 -Singular Points.mp4 200 MB ~Get Your Files Here !/Bonus Resources.txt 70 B