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In this video we learn how to solve the Homogeneous Differential Equation using y = Vx substitution. This substitution leads to y' = V + V'x and the equations becomes a separable equation most of the times. Topics lineup ------------------------------ Basics 00:00 Which are Homogeneous? 01:14 How to Solve 06:01 Problem 1 08:16 Problem 2 10:42 Problem 3 15:14 Problem 4 19:33 Problem 5 25:47 Practice Problems 28:41 First Order Methods ------------------------------------- (1) Direct Integration Method (DIM) • Direct Integration Method (DIM) | 10 Pract... (2) Separation of Variables Method • Separation of Variables Method (SVM) | 10 ... (3) Linear First Order (Integrating Factors) • Linear First Order Equations | 5 Problems ... (4) Substitution Method • Direct Substitution Method | 6 Problems | ... (5) Homogeneous Eqn (This video) (6) Bernoulli's Eqn • Solve Bernoulli's Equation | 3 Problems | ... (7) Exact Equations • Solve Exact Equations long/short method | ... Related Videos ------------------------------------- Two important formulas • Two Very Important Formulas for Calculus a... Common Antiderivatives: • Table Of Integrals: Every Calculus Student... Four-Formulas method: • Four-Formulas Method for Integrals | Short... Coverup Method • Cover-Up Method to Find Partial Fractions ... Di Method • Shortcut for Integration-by-Parts (IBP) | ... Thank you for watching. #exam_review #differential_equations #homogeneousdifferentialequation