Mathematics - iii (Differential Calculus) - Vol 2 | 9. Non-Homogeneous Linear PDEs by Abraham | Learn Smarter
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics

Grades

Grade 8 Grade 9 Grade 10 Grade 11 Grade 12

Curriculum

CBSE ICSE IB
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

games
Typing
Memory
Math
English Adventures
Knowledge
9. Non-Homogeneous Linear PDEs

Non-Homogeneous Linear Partial Differential Equations (PDEs) feature a non-zero function on their right-hand side, essential for modeling physical phenomena under external forces. The general solution combines the complementary function (CF) of the homogeneous equation with a particular integral (PI). Various solving techniques include the operator method, method of undetermined coefficients, and variation of parameters, which are crucial for tackling advanced engineering problems.

Sections

  • 9

    Partial Differential Equations

    This section covers Non-Homogeneous Linear Partial Differential Equations (PDEs), emphasizing their definition, solution structure, and solving methods.

    Learning Practice

  • 9.1

    Definition And Standard Form

    This section introduces Non-Homogeneous Linear Partial Differential Equations (PDEs), highlighting their significance, definition, and standard form.

    Learning Practice

  • 9.2

    Solution Structure

    This section outlines the structure of solutions to non-homogeneous linear partial differential equations, emphasizing the roles of the complementary function and particular integral.

    Learning Practice

  • 9.3

    Methods Of Solving Non-Homogeneous Linear Pdes

    This section outlines various methods for solving non-homogeneous linear partial differential equations, including the operator method, the method of undetermined coefficients, and variation of parameters.

    Learning Practice

  • 9.4

    Example Problems

    This section presents example problems for solving non-homogeneous linear partial differential equations (PDEs).

    Learning Practice

  • 9.5

    Applications

    This section explores the diverse applications of non-homogeneous linear partial differential equations in various fields including engineering and biological sciences.

    Learning Practice

References

Unit_2_ch9.pdf

Class Notes

Memorization

What we have learnt

  • Non-Homogeneous Linear PDEs...
  • The general solution is der...
  • Key solving techniques incl...

Final Test

Revision Tests