Modelling Damped Oscillations with Second-Order DEs

Damped Oscillations

11th Grade·Math·UK A-Level

Updated 2 months ago · 3 views

Set up second-order differential equations for damped oscillating systems and identify the type of damping.

Premium Lesson

Upgrade to unlock this lesson, practice questions, and your personal tutor.

This lesson is part of a track

Public learning track

Damped Oscillations

11th Grade · Math · UK A-Level

4 lessons

Goal

Extend the SHM model with damping terms, solve the resulting second-order differential equations, and interpret heavy, critical, and light damping behaviour.

4 lessons

0 of 4 done

Introduction to Damped OscillationsUp next
Modelling Damped Oscillations with Second-Order DEsYou are here
Interpreting Damped Oscillation SolutionsNot started yet
Damped Oscillation Problem SolvingNot started yet

View full track

Learning standards covered

FM-I4General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Solve differential equations of form y''+ay'+by=0 where a and b are constants by using the auxiliary equation

FM-I8General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Model damped oscillations using 2nd order differential equations and interpret their solutions