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# Advanced Problem Solving Module 17

### Modelling with Differential Equations

### First Order Differential Equations

### Second Order Differential Equations

### It's Only a Minus Sign

### Example STEP Differential Equation Questions

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In this module, get to grips with differential equations.

Age 16 to 18

This article covers what differential equations are, and offers some insight into how to formulate one describing a real life situation.

Age 16 to 18

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.

Age 16 to 18

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.

Age 16 to 18

Challenge Level

Solve these differential equations to see how a minus sign can
change the answer

Age 16 to 18

Here you can find several example questions from STEP past papers for you to practice your skills on.