Eliminating a Variable from Coupled Systems

Coupled First-Order Differential Equations

11th Grade·Math·UK A-Level

Updated 2 months ago · 3 views

Differentiate one equation and substitute to eliminate one variable, obtaining a second-order DE in one variable.

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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 SystemsYou are here
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 EquationsNot started yet

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Learning standards covered

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