Mixed Modelling Problems with Differential Equations

Coupled First-Order Differential Equations

11th Grade·Math·UK A-Level

Updated 1 month ago · 3 views

Solve and interpret a variety of modelling problems using SHM, damped oscillations and coupled systems.

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Coupled First-Order Differential Equations

11th Grade · Math · UK A-Level

6 lessons

Goal

Model interacting quantities using simultaneous first-order differential equations, solve them by elimination and back-substitution, and interpret solutions including predator–prey dynamics.

6 lessons

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Introduction to Coupled First-Order Simultaneous EquationsUp next
Eliminating a Variable from Coupled SystemsNot started yet
Solving Coupled First-Order Differential EquationsNot started yet
Predator–Prey Models as Coupled Differential EquationsNot started yet
Analysing and Interpreting Coupled System SolutionsNot started yet
Mixed Modelling Problems with Differential EquationsYou are here

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Learning standards covered

FM-I3General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Use differential equations in modelling in kinematics and in other contexts

FM-I7General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Solve the equation for simple harmonic motion x=−ω2x and relate the solution to the motion

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

FM-I9General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Analyse and interpret models of situations with one independent variable and two dependent variables as a pair of coupled 1st order simultaneous equations and be able to solve them, for example predator-prey models