first order differential equations from the ocr specification candidates should be able to:...
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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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