Can substitution be used to solve this homogeneous DE?

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Thread starter abrowaqas
Start date Sep 27, 2011
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Homogeneous

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abrowaqas

Thread starter
Sep 27, 2011

xcos(y/x)(ydx+xdy) = ysin(y/x)(xdy-ydx)

I have started to it by
Letting
y=vx
And then
Find it's derivative put their in equation
. But the equation afterwards cannot come for finding suitable integral.
Kindly help.

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Eynstone

Oct 3, 2011

The equation becomes dx/x =[(vtanv-1)/2v]dv on simplification.

Can substitution be used to solve this homogeneous DE?

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