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Edexcel A Level Maths: Pure:复习笔记8.3.5 Solving & Interpreting Differential Equations
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福利干货
Date: 2022年11月1日 下午4:53
Solving & Interpreting Differential Equations
How do I solve a differential equation?
Solving differential equations uses integration!
The precise integration method will depend on the type of question (see Decision Making)
Separation of variables is highly likely to be involved
Particular solutions are usually required to Differential Equations
An initial/boundary condition is needed
Solutions can be rewritten in a format relevant to the model
The solution can be used to make predictions at other times
Temperature after four minutes
Volume of sales after another three months
How do I use the solution to a differential equation?
Questions may ask you to interpret your solutions in the context of the problem
There could be links to other areas of A level maths – such as mechanics
Sometimes multiple rates of change may be involved in a model or problem
See Connected Rates of Change
How do I interpret a differential equation?
Models may not always be realistic in the long term
A population will not grow indefinitely – it will reach a natural limit
You will be expected to interpret and comment on the model
Worked Example
转载自savemyexams
Previous post: Edexcel IGCSE Physics: Double Science 复习笔记:5.1.2 Core Practical: Determining Density
Next post: Edexcel IGCSE Physics: Double Science 复习笔记:5.1.3 Pressure
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