Specialist Mathematics · Unit 4 · Rates of change and differential equations · Differential equations
Model and solve problems using provided differential equations, including the logistic equation, Newton’s law of cooling and radioactive decay, with and without technology.
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Determine general and particular solutions of first-order differential equations of the form 𝑑𝑦 𝑑𝑥 = 𝑓(𝑥), differential equations of the form 𝑑𝑦 𝑑𝑥 = 𝑔(𝑦) and differential equations of the form 𝑑𝑦 𝑑𝑥 = 𝑓(𝑥)𝑔(𝑦) using separation of variables.
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Understand and use slope (direction or gradient) fields of a first-order differential equation.