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xdy+2ydx=0" when "x=2,y=1...

xdy+2ydx=0" when "x=2,y=1

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xdy + 2 ydx = 0 , " when " x=2 , y=1

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Let y(x) be a solution of xdy+ydx+y^(2)(xdy-ydx)=0 satisfying y(1)=1. Statement -1 : The range of y(x) has exactly two points. Statement-2 : The constant of integration is zero.

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Solution of the differential equation y cos backslash(y)/(x)(xdy-ydx)+x sin backslash(y)/(x)(xdy+ydx)=0 which satisfies y(1)=(pi)/(2) is