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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: please solve this
Forum Index -> Integral Calculus like the article? email it to a friend.  
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[Post New]28 Mar 2007 11:50:53 IST
    Subject: please solve this
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gauravgk (45)

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find the differential eqn of
(xdy+ydx)sin(xy)+(x2ydy+y2xdx)cos(xy)=0
    
[Post New]28 Mar 2007 12:44:49 IST
    Subject: please solve this
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abhishekmodi (0)

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(xdy+ydx)sin(xy)+(x^2ydy+y^2xdx)cos(xy)=0
takexy=t
xdy+ydx=dt
now
sin(t)dt+tcos(t)dt=(sint+tcost)dt=0
now integrate
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[Post New]29 Mar 2007 02:48:48 IST
    Subject: Re:please solve this
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rishikesh_anshu (220)

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xdy+ydx=d(xy)
(x2ydy+y2xdx)=xy(xdy+ydx)=xydxy
so,
(xdy+ydx)sin(xy)+(x2ydy+y2xdx)cos(xy)=0
or,
sin(xy)dxy + xycosxydxy=0
(sin(xy) + xycosxy)dxy=0
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