AQA•A-Level•Further Maths
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Differential Equations
First and second order differential equations and their applications
Practice 25 subtopics in Differential Equations. All questions match the AQA A-Level specification.
About Differential Equations
Differential Equations is a key topic in the AQA A-Level Further Mathsspecification. This topic covers first and second order differential equations and their applications.
Master all 25 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
All Subtopics (25)
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Separable equations (review)Integrating factor methodSolving dy/dx + P(x)y = Q(x)Finding integrating factor e^∫P dxExact equationsSecond order linear: ay" + by' + cy = 0Auxiliary equationDistinct real rootsRepeated rootsComplex conjugate rootsGeneral solution formsParticular integralsGeneral solution = CF + PIFinding PI by trialPI for polynomialsPI for exponentialsPI for trigonometric functionsModification when PI overlaps CFInitial conditionsBoundary value problemsFinding particular solutionsSimple harmonic motionDamped oscillationsCoupled first order equationsModelling with differential equations
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Start with Separable equations (review)