P.I. | Linear differential equation with constant coefficient | Engineering maths | B.tech maths

Complete Solution of Higher Order Differential Equation | C.F + P.I. | Engineering Mathematics

In this Lecture-4, we learn how to find the complete solution of higher order ordinary differential equations by combining Complementary Function (C.F.) and Particular Integral (P.I.).

This lecture is very important for B.Tech 1st year Engineering Mathematics and covers the complete step-by-step method used in university exams.

🔹 Topics Covered in This Lecture:

What is Complete Solution of ODE

Relation between C.F. and P.I.

General solution of linear differential equation

Step-by-step method to find:

Complementary Function (C.F.)

Particular Integral (P.I.)


Solved numerical examples

Common mistakes to avoid in exams


This lecture helps students clearly understand how to write the final answer of differential equations in exams.

🎯 Useful For:

B.Tech / BE 1st Year students

Engineering Mathematics exam preparation

Universities like AKTU, RTU, RGPV, JNTU, BTU, CSVTU and more


👉 Watch till the end to master Complete Solution (C.F + P.I.) of higher order differential equations.


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