
40 fully worked, mark-scheme-annotated questions on first order differential equations for OCR A A-Level Maths (H240), covering the whole of the topic: forming differential equations from rate-of-change statements (spec 1.07t), solving by direct integration and by separating the variables including finding particular solutions (spec 1.08k), and interpreting the solution in context (spec 1.08l). Progressive difficulty runs from entry-level general and particular solutions, through Newton’s law of cooling, exponential growth and decay, half-life, kinematics and price/demand models, up to challenging synoptic questions with partial fractions, logistic populations, mixing tanks, draining tanks and ‘show detailed reasoning’ (DR) demands. Every worked solution breaks the method into one atomic step per line with a plain-English note on each line and the real OCR M/A/B marks folded in exactly where the mark scheme awards them. Ideal for revision, homework and exam practice.
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