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Integral Calculus

Rohit Agarwal's Avatar
Cool goIITian

Joined: 23 Sep 2008
Post: 74
8 Oct 2009 15:17:30 IST
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DIFFERENTIAL EQUATION [only for eexpertts...beginners may keep away]
None

 


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kabi's Avatar

Blazing goIITian

Joined: 11 Jan 2009
Posts: 575
9 Oct 2009 17:20:00 IST
1 people liked this

thanks for rewriting it again .

differentiate it u will get

lamda = - ( xb2 +a2 y y '  ) /( x+ y' )

put this in the original question 

u will get

(x +y y') (xy' -y ) = (a2 -b2 )y'

to find the orthogonal curve we actually exchange dy/dx by -dx/dy

and integrate it

by applying this here

u will again get the same original curve .

thank u

Rohit Agarwal's Avatar

Cool goIITian

Joined: 23 Sep 2008
Posts: 74
9 Oct 2009 22:34:05 IST
0 people liked this

uum.ok..i will try..thanx dude....:)



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