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Solve (dy)/(dx)=(siny + x)/(sin2y-xcosy)...

Solve `(dy)/(dx)=(siny + x)/(sin2y-xcosy)`

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The solution of the differential equation (dy)/(dx)=(siny+x)/(sin2y-xcosy) is (a) sin^(2) y= xsiny+(x^(2))/(2)+C (b) sin^(2) y= xsiny-(x^(2))/(2)+C ( c ) sin^(2) y= x+siny+(x^(2))/(2)+C (d) sin^(2) y= x-siny+(x^(2))/(2)+C

The solution of the differential equation (dy)/(dx)=(siny+x)/(sin2y-xcosy) is (a) sin^(2) y= xsiny+(x^(2))/(2)+C (b) sin^(2) y= xsiny-(x^(2))/(2)+C ( c ) sin^(2) y= x+siny+(x^(2))/(2)+C (d) sin^(2) y= x-siny+(x^(2))/(2)+C

The solution of the differential equation (dy)/(dx)=(siny+x)/(sin2y-xcosy) is (a) sin^(2) y= xsiny+(x^(2))/(2)+C (b) sin^(2) y= xsiny-(x^(2))/(2)+C ( c ) sin^(2) y= x+siny+(x^(2))/(2)+C (d) sin^(2) y= x-siny+(x^(2))/(2)+C

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If siny=xsin(a+y),\ \ prove that (dy)/(dx)=(sin ^2\ (a+y))/(sina)