Methods of auxilliary equaion ,example 2

In this video, we go through the step-by-step process of solving second-order linear differential equations with constant coefficients. This is one of the most important topics in differential equations, and understanding the procedure clearly will make solving problems much easier. What you’ll learn: The standard form of second-order linear ODEs How to form and solve the auxiliary (characteristic) equation Handling different cases: distinct real roots, repeated roots, and complex roots Writing the general solution Clear, structured steps you can apply to any problem This lesson is ideal for students in calculus, engineering, and applied mathematics who want a solid, practical method for solving these equations. Don’t forget to like, comment, and subscribe for more math tutorials! #DifferentialEquations #SecondOrderDE #LinearODE #ConstantCoefficients #MathTutorial #Calculus #EngineeringMath #STsocial media links Twitter; https://x.com/PhysicProfessor Facebook; https://www.facebook.com/profile.php?id=61587392873521 Instagram; https://www.instagram.com/leprofessoragui/# Tiktok; https://www.tiktok.com/@le.professor.agui Linkedin; www.linkedin.com/in/le-professor-agui-4a7840360 Reddit; https://www.reddit.com/leprofessoragui