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Show that substituting y = xv, where v is a function of x, in the differential equation "xy(dy/dx) + y^2 − 2x^2 = 0" (with x is not equal to 0) leads to the differential equation "xv(dv/dx) + 2v^2 − 2 = 0"

This is the first part of a Step 1 question (2012 question 8), and is fairly typical in that it requires A Level Maths understanding to be applied in a number of different ways, out of the usual context.We b...
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Answered by Will W. • STEP tutor
11151 Views

How useful are introductions and conclusions?

This is always a divisive issue as some will tell you they're great and others that they're not necessary, and in the end it tends to depend on where you're using them and what for. Ultimately, I would say t...
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Answered by Dan E. • History tutor
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What is epistemology?

Technically epistemology is the study of knowledge, but at A-level, you need to know that it's the weight behind any philosophical argument and will be incredibly useful to include in any theory you use. For...
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3082 Views

How to write a successful personal statement

Writing a personal statement is difficult, especially as your school is saying one thing, your parents another and universitys a couple different thing! In my experience schools emphasise the importance of h...
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7920 Views

How do I include historiography in my essay?

Including historiography in an essay, can be a challenge especially as most people haven't done it before. However, with a little bit of practice it will become second nature. It is important to note that if...
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Answered by Rachel M. • History tutor
19314 Views