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# Implicit equations help watch

1. I'm stuck on question 4

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2. And this is as far as I've got

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3. Oh that's horrible!

Really!

You have separated the variables correctly but the next line is just drivel. Try substituting a couple of numbers and you will agree.

Integrate the y term by recognising a logarithmic integral and the x term by making a substitution for the denominator or by expressing it in divided out form.
4. (Original post by SDavis123)
And this is as far as I've got

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Line 1 = good

Line 2 = rubbish

Ditto the y side being incorrect
5. (Original post by Mr M)
Oh that's horrible!

Really!

You have separated the variables correctly but the next line is just drivel. Try substituting a couple of numbers and you will agree.

Integrate the y term by recognising a logarithmic integral and the x term by making a substitution for the denominator or by expressing it in divided out form.
Ah yes I see what you mean so take the 2 out of the y bit to make the top differential of the bottom so you'll get ln(y^2 +1) ?

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7. (Original post by SDavis123)
Ah yes I see what you mean so take the 2 out of the y bit to make the top differential of the bottom so you'll get ln(y^2 +1) ?

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Sort of.

You need to deal with the 2 you just threw away.
8. Ah yh sorry, (1/2)(ln(y^2 + 1))

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9. (Original post by SDavis123)
Ah yh sorry, (1/2)(ln(y^2 + 1))

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Yes.
10. (Original post by Mr M)
Yes.

I'm not sure on the x part but I said

x/(x-1)=x(x-1)^-1

And when I integrate that I get

((-x^2)/4).(x-1) that right?

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11. (Original post by SDavis123)
I'm not sure on the x part but I said

x/(x-1)=x(x-1)^-1

And when I integrate that I get

((-x^2)/4).(x-1) that right?

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You seem to be making up your own integration rules now.

which I hope you can integrate.
12. (Original post by Mr M)
You seem to be making up your own integration rules now.

which I hope you can integrate.
Ermmm ok haha but how did you get

x/(x-1)=(x-1+1)/(x-1) ?

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13. (Original post by SDavis123)
Ermmm ok haha but how did you get

x/(x-1)=(x-1+1)/(x-1) ?

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Because
14. (Original post by SDavis123)
Ermmm ok haha but how did you get

x/(x-1)=(x-1+1)/(x-1) ?

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Because x-1+1 = x ???

Edit: SNAP!
15. (Original post by davros)
Because x-1+1 = x ???
Snap!

16. (Original post by Mr M)
Because
Ah yh obviously can't believe I didn't see that haha

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17. (Original post by Mr M)
Snap!

I'm trying to write maths while watching the football. I should stop now before I write something stupid!
18. (Original post by davros)
I'm trying to write maths while watching the football. I should stop now before I write something stupid!
Football? And there was me thinking mathematicians were clever

And what's the next move after

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19. (Original post by SDavis123)
Football? And there was me thinking mathematicians were clever

And what's the next move after

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Integrate it - come on this is getting a bit painful!
20. (Original post by Mr M)
Integrate it - come on this is getting a bit painful!
Yh I did, did you see the picture?

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Updated: March 26, 2013
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