DIFFERENTIAL EQUATIONS

In Mathematics, a differential equation is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point. It is mainly used in fields such as physics, engineering, biology and so on.

Intermediate 0(0 Ratings) 0 Students enrolled English
Created by Dept of Mathematics
Last updated Thu, 27-Jun-2024
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Course overview

What will i learn?

  • 1. Solve first order first degree linear differential equations. 2. Convert a non-exact homogeneous equation to exact differential equation by using an integrating factor. 3. Know the methods of finding solution of a differential equation of first order but not of first degree. 4. Solve higher-order linear differential equations for both homogeneous and non-homogeneous, with constant coefficients. 5. Understand and apply the appropriate methods for solving higher order differential equations.
Requirements
  • Knowledge on Differentiation and Integration
Curriculum for this course
28 Lessons 07:10:47 Hours
Differential Equations of first order and first degree
9 Lessons 02:07:34 Hours
  • Linear Differential Equations
    Preview 00:24:28
  • Separable differential equation
    Preview 00:17:39
  • Homogeneous Differential Equations
    Preview 00:19:42
  • Exact Differential Equation
    Preview 00:19:50
  • Non Exact Differential Equation
    Preview 00:23:06
  • Bernoulli Differential Equation
    Preview 00:22:49
  • Notes on differential equation
    Preview .
  • Practice Questions
    Preview .
  • Quiz Questions
    Preview .
Differential Equations of first order but not of first degree
8 Lessons 01:37:05 Hours
  • Equations solvable for P
    Preview 00:20:24
  • Equations solvable for X
    Preview 00:21:09
  • Equations solvable for Y
    Preview 00:18:21
  • Clairaut’s equation
    Preview 00:16:12
  • Orthogonal Trajectories: Cartesian form
    Preview 00:20:59
  • Notes on Differential Equations of first order but not of first degree
    Preview .
  • Quiz questions
    Preview .
  • Practice Questions
    Preview .
Higher order linear differential equations
6 Lessons 01:13:13 Hours
  • Chapter 1-Part 1-Solutions of Homogeneous differential equations of order n with constant coefficients
    Preview 00:15:22
  • Chapter 1 Part-2
    Preview 00:10:06
  • Chapter 1 Part-3
    Preview 00:20:52
  • Chapter-1 Part-4
    Preview 00:11:32
  • Chapter-1 Part-5
    Preview 00:10:19
  • Chapter-2 Part 1 Non Homogenous Higher Order Linear Differential Equations with Constant Coefficients
    Preview 00:05:02
HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH NON-CONSTANT COEFFICIENTS
5 Lessons 02:12:55 Hours
  • Method of Variation of Parameters: Part - I
    00:22:51
  • Method of Variation of Parameters, Part - II
    00:29:24
  • The Cauchy Euler Equation: Part - I
    00:34:46
  • The Cauchy Euler Equation Part-II
    00:31:44
  • Video Over all explanation of the unit examination point of view Unit 5
    00:14:10
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