article
Modelling with differential equations
This article covers what differential equations are, and offers some insight into how to formulate one describing a real life situation.
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First order differential equations
In STEP and other advanced mathematics examinations, two main methods are used to solve first order differential equations: separation of variables and the method of integrating factors. This article reviews how the two work.
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Second order differential equations
Many modelling situations force us to deal with second order differential equations. In STEP and other advanced mathematics examinations a particular set of second order differential equations arise, and this article covers how to solve them.
problem
It's only a minus sign
Age
16 to 18
Challenge level
Solve these differential equations to see how a minus sign can change the answer
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Example STEP differential equation questions
Here you can find several example questions from STEP past papers for you to practice your skills on.
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Prepare for university - pure mathematics
Helpful preparation for those intending to study a course involving pure mathematics at university.
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Prepare for university - applied mathematics
Helpful preparation for university for those intending to study a
course involving applied mathematics at university.
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NRICH and Olympiads
A useful entry point into the NRICH site for those students interested in Mathematical Olympiad problems or the Maths Challenges.