Solving differential equations of the form dy/dx = g(y) (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 defines a steady state solution?
What defines a steady state solution?
g(y) = 0
What is the first step in solving?
What is the first step in solving?
Identify steady states
What does separation of variables do?
What does separation of variables do?
Isolates y and x
What is the result of dy/dx = ky?
What is the result of dy/dx = ky?
y = Ce^(kt)
What is a common application of these equations?
What is a common application of these equations?
Population growth
What does integration provide in solving?
What does integration provide in solving?
General solution
What is the steady state for dy/dx = -ky?
What is the steady state for dy/dx = -ky?
y = 0
What is the purpose of verification?
What is the purpose of verification?
Check solution accuracy
What does dy/dx = ry(1-y/C) model?
What does dy/dx = ry(1-y/C) model?
Logistic growth
What is the first step in integration?
What is the first step in integration?
Separate variables