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Algebra

Cool goIITian

Joined:	20 Jun 2010
Post:	36

14 Feb 2012 00:03:19 IST

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solve the differetial equation(x-y)(dx+dy)=dx-dy

Mathematics

solve the differetial equation(x-y)(dx+dy)=dx-dy

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Comments (3)

Abhishek Bandiya

Cool goIITian

Joined: 7 Jul 2011

Posts: 59

14 Feb 2012 00:27:12 IST

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i dont know i am right or wrong

(x-y)(dx+dy)=dx-dy

dx+dy=(dx-dy)/(x-y)

taking common dx by right side

dx+dy=

now on integrating both sides

+c = .........(1)

let A= x - y

differentiatin A w r t x

dA/dx=1-dy/dx

dA=(1-dy/dx) .dx

so (1) becomes

x+y+c=

x+y+c= ln(A)

x+y+c=ln(x - y)

laboni dutta

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Joined: 20 Jun 2010

Posts: 36

17 Feb 2012 00:07:33 IST

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it s corct bt some parts of d solutn is nt visible...

sidharthsekharsahoo

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Joined: 9 Jan 2012

Posts: 90

17 Feb 2012 16:31:23 IST

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i also got x+y+c=ln(x-y)

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