Discrete Mathematics - Vol 2 | 19. Lecture -39: Solving Linear Non- Homogeneous Recurrence Equations by Abraham | Learn Smarter
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19. Lecture -39: Solving Linear Non- Homogeneous Recurrence Equations

This chapter addresses the methods for solving linear non-homogeneous recurrence equations of degree k. By focusing on the associated homogeneous recurrence relation and finding a particular solution, students learn how to construct solutions for various forms of non-homogeneous equations. The chapter also emphasizes the importance of trial and error in determining particular solutions based on specific function forms, and how to unify these methods into a general theorem for broader applications in solving recurrence relations.

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Sections

  • 19.1

    Discrete Mathematics

    This section discusses methods for solving linear non-homogeneous recurrence equations.

    Learning Practice

  • 19.2

    Lecture -39: Solving Linear Non- Homogeneous Recurrence Equations

    Learning

  • 19.2.1

    General Form Of Linear Non-Homogeneous Recurrence Equations

    This section discusses the general form of linear non-homogeneous recurrence equations and the methods to solve them.

    Learning Practice

  • 19.2.2

    Associated Homogeneous Recurrence Relation

    This section focuses on solving linear non-homogeneous recurrence equations by forming associated homogeneous relations and determining a particular solution.

    Learning Practice

  • 19.2.3

    Finding A Particular Solution

    This section focuses on solving linear non-homogeneous recurrence equations by finding a particular solution and discussing associated homogeneous equations.

    Learning Practice

  • 19.2.4

    Methods For Finding Particular Solutions

    This section explains methods for solving linear non-homogeneous recurrence equations, focusing on finding particular solutions through trial and error.

    Learning Practice

  • 19.2.5

    Case Studies And Examples

    This section outlines how to solve linear non-homogeneous recurrence equations through case studies and specific examples.

    Learning Practice

  • 19.2.6

    Unification Of Examples And General Theorem Statement

    This section discusses how to solve linear non-homogeneous recurrence equations by finding a particular solution and using associated homogeneous recurrence relations.

    Learning Practice

  • 19.2.7

    Summary And References

    This section outlines the methods for solving linear non-homogeneous recurrence equations and emphasizes the importance of identifying associated homogeneous equations.

    Learning Practice

References

ch40.pdf

Class Notes

Memorization

What we have learnt

  • The general form of linear ...
  • The solution to such equati...
  • Finding the particular solu...

Final Test

Revision Tests