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FP - transformations of non-linear differential equations

I'm attempting question2 on page 72 of the AQA FP3 booklet.

I've managed part a but then I'm stuck.

I've tried du/dx = -e^u then u = -xe^u + C but it's nothing like the answer in the book.

I need some help please.

Below is the question.
Original post by maggiehodgson
I'm attempting question2 on page 72 of the AQA FP3 booklet.

I've managed part a but then I'm stuck.

I've tried du/dx = -e^u then u = -xe^u + C but it's nothing like the answer in the book.

I need some help please.

Below is the question.


Have you considered Seperation of variables?
Original post by maggiehodgson
I'm attempting question2 on page 72 of the AQA FP3 booklet.

I've managed part a but then I'm stuck.

I've tried du/dx = -e^u then u = -xe^u + C but it's nothing like the answer in the book.

I need some help please.

Below is the question.


Unfortunately you can't integrate it like that, as u depends on x. Think back to C3/ C4.

Hint: Separation of variables.
(edited 9 years ago)
Thank you both.

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