Having problems solving this diff equation.

(1-x^2)y´+ xy = x for -1 < x < 1

I get the ínt factor to 1/(1-x^2)^0,5, But having problems after that.

Thank you.

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- Mar 16th 2008, 10:04 AM #1

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- Mar 16th 2008, 10:29 AM #2

- Mar 16th 2008, 10:34 AM #3

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- Mar 16th 2008, 10:36 AM #4

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- Mar 16th 2008, 10:39 AM #5
ok, so following the steps exactly, you would end up with

again, just following the steps i outlined (we literally don't have to think about this if we know the steps by heart), this becomes

now integrate both sides and continue

look closely at the steps and see what is confusing you. the single derivative is simply the coefficient of y' times y.

- Mar 16th 2008, 10:42 AM #6

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- Mar 16th 2008, 10:43 AM #7

- Mar 16th 2008, 10:46 AM #8

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