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Marrouche & Co. Industries > Serious Stuff > Mathematics > First order differential equations? Tuesday-7-Sep-2010 21:20

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Yasa
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First order differential equations?

I was revising and I came across "first order differential equations" and can't seem to remember what is it. I can't find it in the textbook which I got the question from (smart) and Jad's not online (where have you been?) could anyone please explain what this is? If you need here's the sample question:
Given that y^2 = A sin 3x, form a first order differential equation that does not contain the constant A"

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Tuesday-5-Oct-2004 15:15
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Eternal God
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Isn't this P3 A-level?

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I'd solve it but can't be arsed tbh.

Wednesday-6-Oct-2004 12:47
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JM
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easy peasy mate

y2=Asin3x

implicit differentiation,

2y dy/dx = 3A cos3x

but A= y2/sin3x

therefore
dy/dx = 3/2 y cot3x

JM

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Wednesday-13-Apr-2005 13:00
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