Coupled Equations (AQA A-Level Further Maths): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
How many variables do coupled differential equations typically involve?
How many variables do coupled differential equations typically involve?
Three or more variables
Which field uses coupled equations for predator-prey relationships?
Which field uses coupled equations for predator-prey relationships?
Population dynamics
What is a predator in a predator-prey model?
What is a predator in a predator-prey model?
A species that hunts another
What sign should the rate of decay have in a differential equation?
What sign should the rate of decay have in a differential equation?
Negative
What is the first step in solving a coupled system?
What is the first step in solving a coupled system?
Choose one equation to differentiate
Why differentiate one equation in the solution method?
Why differentiate one equation in the solution method?
To get a second derivative
What do you find from when solving?
What do you find from when solving?
Roots for complementary function
What form does the solution take when the characteristic equation has a repeated root ?
What form does the solution take when the characteristic equation has a repeated root ?
What are initial conditions used for?
What are initial conditions used for?
Finding unknown coefficients
What should you do if your solution gives negative populations?
What should you do if your solution gives negative populations?
Explain the model breaks down