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Further Mathematics
All levels

How to use the integrating factor?

Say you have a differential equation of the form:
dy/dx + Py = Q , where P and Q are functions of x.
Remember that even if your equation doesn't initially look like this, you may be able to rea...

EN
11338 Views

How do I find the asymptotes of a curve?

The asymptotes of a curve are the lines or curves that approach a given curve very closely without actually touching it. They make curve sketching much easier. You will probably only have asymptotes that ...

SK
21651 Views

What are differential equations, and why are they important?

Let's begin by reviewing a fairly simple (linear) equation:

(1) y = 2x + 3

(1) describes the relationship between two variables, <...

XD
8230 Views

How do I sketch the locus of |z - 5-3i | = 3 on an Argand Diagram?

First, we use the idea that a complex number z can be written in terms of its real and imaginary parts, i.e. z = x+iy, to write our expression as:

 

| x+ iy -5 - 3i | = ...

GM
26355 Views

Understanding differentiation from first principle.


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