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First Order Differential Equations From the OCR specification Candidates should be able to: a)formulate a simple statement involving a rate of change as a differential equation, including the introduction if necessary of a constant of proportionality; b)find by integration a general form of solution for a differential equation in which the variables are separable; c)use an initial condition to find a particular solution of a differential equation; d)interpret the solution of a differential equation in the context of a problem being modelled by the equation.

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Checklist Make sure you can... Formulate simple differential equations Separate the variables of a differential equation Find the general solution of a differential equation Use an initial condition to find a particular solution Interpret the solution to a differential equation

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Worked Examples June 2009

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January 2008

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June 2010

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January 2010

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