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First order differential equation





Why have they got d/dx (2xy2) ? Surely it should be d/dx (4xy2)? I mean the coefficient is 4x and the y term is y2 ​?
Reply 1
Original post by GPODT




Why have they got d/dx (2xy2) ? Surely it should be d/dx (4xy2)? I mean the coefficient is 4x and the y term is y2 ​?


Because that would be wrong

Can you differentiate

4xy24xy^2 wrt x

If you can you will see that it is wrong
Reply 2
Original post by TenOfThem
Because that would be wrong

Can you differentiate

4xy24xy^2 wrt x

If you can you will see that it is wrong


From the book:


How do we know whether f(x) = 4x or just x ?

I'm having trouble spotting what is f(x) and what is y etc
Reply 3
Original post by GPODT
From the book:


How do we know whether f(x) = 4x or just x ?

I'm having trouble spotting what is f(x) and what is y etc


Since you can take constants out of the differentiation, it doesn't matter. But if you let f(x)=x then you have to multiply your answer by 4 afterwards.
Reply 4
Original post by GPODT
From the book:


How do we know whether f(x) = 4x or just x ?

I'm having trouble spotting what is f(x) and what is y etc


This differential equation is not of that type

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