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In exactly 9 hours' time, I'll be entering the examination hall of doom for my final exam of the January season: Further Pure 1.

 

To give you a general idea of the hardship I will face for all of (1.5*1.25) hours, here's Question 7 from January 2007's paper:

 

http://ms-os.com/Themes/AlmostGlass/images/icon-quote.gif

Evil Edexcel Math Paper wrote:

 

Consider:

http://w3bdevil.com/misc/Hard1.gif

 

a) Show that the substitution
http://w3bdevil.com/misc/Hard2.gif
transforms the differential equation into

 

 

http://w3bdevil.com/misc/Hard3.gif

 

b)Hence or otherwise find the general solution of the differential equation

 

....and that's just the first half. The section I've copied is worth 9 marks. Can you get them all? :)

 

 

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