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MODULE - 1 ; CLASS-1 : DIFFERENTIAL EQUATIONS Description: In this video, we introduce the concept of Ordinary Differential Equations (ODEs) in Engineering Mathematics. The lecture explains what differential equations are and why they are important in engineering and applied sciences. You will also learn how to form and write Complementary Functions (CF) for linear differential equations with constant coefficients. The method of solving the auxiliary (characteristic) equation and writing the complementary function for different types of roots (real, repeated, and complex) is explained in a simple and step-by-step manner. This session is useful for engineering students and beginners who want to understand the fundamentals of differential equations and solution methods. Topics Covered: • Introduction to Ordinary Differential Equations • Order and Degree of Differential Equations • Linear Differential Equations with Constant Coefficients • Formation of the Auxiliary Equation • Writing the Complementary Function for different roots This lecture will help you build a strong foundation in Engineering Mathematics and Differential Equations. Hashtags: #engineeringmathematics2 #DifferentialEquations #OrdinaryDifferentialEquations #ODE #ComplementaryFunction #EngineeringMaths #MathsForEngineers #MathematicsLecture #MathsConcepts #MathsTutorial #MathsClass #EngineeringStudents #MathsEducation #LearnMathematics #MathsSimplified #STEMEducation #MathsTeacher #KayakaMathsClasses #Drvishalpatil #drvishalpatil #vishalpatil #vishalpatilmaths You can also add these strong YouTube search hashtags (they help reach more students): #EngineeringMathsODE #ComplementaryFunctionMethod #AuxiliaryEquation #ODELecture #EngineeringMathsBasics