Coupled Equations (AQA A-Level Further Maths): Flashcards
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10 cards from this deck
Coupled differential equations
Coupled differential equations
Systems where variable rates depend on multiple variables
Predator
Predator
Species that hunts and eats another species
Prey
Prey
Species eaten by the predator
Solving coupled systems strategy
Solving coupled systems strategy
Convert to single second-order differential equation
First step solving coupled equations
First step solving coupled equations
Choose one equation to differentiate
Eliminating variable in coupled system
Eliminating variable in coupled system
Differentiate and substitute from original equations
Tool for solving second-order diff. eq.
Tool for solving second-order diff. eq.
Characteristic equation
Role of initial conditions
Role of initial conditions
Find unknown coefficients
Sign for decay in differential equations
Sign for decay in differential equations
Negative
Prey equation structure
Prey equation structure
Growth term and negative predation term