Cauchy - Euler equation | Linear diffe. equ. with variable coefficient | B.tech maths

Cauchy–Euler Equation | Linear Differential Equation with Variable Coefficient | Engineering Mathematics

In this lecture, we study the Cauchy–Euler (Equidimensional) Differential Equation, which is an important type of linear differential equation with variable coefficients in Engineering Mathematics.

This topic is a key part of Ordinary Differential Equations (ODE) of higher order and is frequently asked in B.Tech 1st year mathematics examinations.

🔹 Topics Covered in This Lecture:

What is Cauchy–Euler (Equidimensional) equation

Standard form of Cauchy–Euler differential equation

Method of solving Cauchy–Euler equations

Change of variable method

Auxiliary equation formation

Solved examples step by step

Exam-oriented approach


This lecture is very useful for students of B.Tech / BE, especially for universities like AKTU, RTU, RGPV, JNTU, BTU, CSVTU and other technical universities.

👉 After watching this lecture, you will be able to solve linear differential equations with variable coefficients easily.


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