Differential equations
Specialist Mathematics · Unit 4 — Further calculus and statistical inference · Rates of change and differential equations
Learning objectives (3)
LO-1Determine 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.LO-2Model and solve problems using provided differential equations, including the logistic equation, Newton’s law of cooling and radioactive decay, with and without technology.LO-3Understand and use slope (direction or gradient) fields of a first-order differential equation.
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