Complementary Solution — Study Resources & PYQs
Determination of the complementary solution of higher-order linear differential equations.
- Estimated study time: 30 minutes
Study resources
- 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, which covers finding the complementary function.
- Paul's Online Math Notes - Differential Equations (full index) (Article) — Master index of the whole DE course, including the second order and higher order equation pages where the complementary solution is derived.
- Wikipedia - Linear differential equation (Article) — Explains how the complementary function (general solution of the associated homogeneous equation) is built from the roots of the auxiliary equation.
- Linear Differential Equations - Unacademy course (Divyasha Sinha) (Video) — A 21-lesson IIT-JAM course working through homogeneous/exact/linear/Bernoulli first-order equations, integrating factors, higher-order linear equations with constant coefficients, complementary funct…
- MIT OpenCourseWare — Fourier Series and Partial Differential Equations (Article) — MIT course materials covering Fourier series and partial differential equations.
- NPTEL — Numerical Analysis (Article) — Indian engineering mathematics reference for differential equations, series, transforms and numerical mathematical methods.
Complementary Solution 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 — 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
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu