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Integral Calculus
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
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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