Rules for Finding Complementary Function — Study Resources & PYQs
Rules for finding the complementary function of higher-order linear partial differential equations.
- Estimated study time: 45 minutes
Study resources
- Partial Differential Equation - CF & PI - GP Sir (Class Central index) (Article) — Indexed list of the CF & PI lecture series: Homogeneous PDE CF & PI Parts I to IV, which cover finding the complementary function step by step. Follow these in order.
- Partial Differential Equation - GP Sir (Non-Homogeneous PDE, Rules of CF & PI) (Video) — Covers how to factorise the operator and find the complementary function for both homogeneous and non-homogeneous PDEs.
- Partial Differential Equations of Second Order (University of Kashmir lecture notes) (Article) — University lecture notes on second-order PDEs, covering linear equations with constant coefficients, their complementary function/particular integral, and non-linear second-order equations.
- Partial Differential Equation | Homogeneous PDE | CF & PI - Dr. Gajendra Purohit (GP Sir), curated by Class Central (Video) — Works through the standard rules for writing down the complementary function of a linear PDE with constant coefficients from its auxiliary equation.
- Paul's Online Math Notes - Differential Equations (full index) (Article) — Master index of the whole DE course: second order and higher order equations, undetermined coefficients, variation of parameters, Euler equations and Fourier series. Bookmark this one link.
- Differential Equation playlist contents - GP Sir (Class Central index) (Article) — Indexed list of a 23-hour lecture series. Look for 'Linear Higher Order Differential Equation | CF & PI' Lecture I and the 'Rules of CF & PI' lecture - these two cover this topic completely.
Rules for Finding Complementary Function previous year questions
Taught in these subjects
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu