lesson
Solving Coupled First-Order Differential Equations
Solve the resulting second-order DE and back-substitute to find both dependent variables.
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Coupled First-Order Differential Equations
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 EquationsYou are here
- 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
Learning standards covered
FM-I4General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeSolve differential equations of form y''+ay'+by=0 where a and b are constants by using the auxiliary equation
FM-I9General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeAnalyse 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