Modelling with first-order differential equations (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is a first-order differential equation?
What is a first-order differential equation?
y'(t) = f(t, y(t))
What does exponential growth represent?
What does exponential growth represent?
y'(t) = ky(t) with k > 0
What is the formula for doubling time?
What is the formula for doubling time?
T = ln(2)/r
What does half-life measure?
What does half-life measure?
Time for half to decay
What is the general solution of y'(t) = ky(t)?
What is the general solution of y'(t) = ky(t)?
y(t) = Ce^{kt}
What is a common application of differential equations?
What is a common application of differential equations?
Modeling population growth
What does C'(t) = -kC(t) model?
What does C'(t) = -kC(t) model?
Pollutant spread
What method is key for solving differential equations?
What method is key for solving differential equations?
Separation of variables
What is the first step in solving y'(t) = f(t, y(t))?
What is the first step in solving y'(t) = f(t, y(t))?
Separate variables
Why practice past paper questions?
Why practice past paper questions?
To improve problem-solving skills