Solve d³y/dx³ + 6d²y/dx² + 11dy/dx + 6y = 0 | Higher Order ODE | VTU Maths

Описание: 📘 Solution of Higher Order Linear Differential Equation

Problem:
Solution of
d^3y/dx^3 + 6 d^2y/dx^2 + 11 dy/dx + 6y = 0

This video explains the solution of a third-order homogeneous linear differential equation with constant coefficients using the auxiliary (characteristic) equation method, which is a fundamental topic in Engineering Mathematics and VTU examinations.

📌 Syllabus Mapping (VTU)

2022 Scheme
BMATE301 / BEE301 – Module 1
Ordinary Differential Equations of Higher Order

BMATEC301 / BEC301 – Module 4
Ordinary Differential Equations of Higher Order

BMATM101 / BMATC101 – Module 4

2025 Scheme
1BMATE101 – Module 4
Ordinary Differential Equations of Higher Order

1BMATC101 – Module 4
Ordinary Differential Equations of Higher Order

🎯 In this video
Formation of the auxiliary equation
Finding the roots of the characteristic equation
Identification of real and distinct roots
Writing the complementary function
Obtaining the general solution
VTU exam-oriented step-by-step method

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