Questions in diff-equation

Select	Question
	Solution of the differential equation $\frac{dy}{dx}+\frac{y}{x}=\sin x$ is
	Solution of the equation $(x+\log y)dy+y\,dx=0$ is
	The equation of the curve which passes through the point (1, 1) and whose slope is given by $\frac{2y}{x}$, is
	The equation of the curve that passes through the point $(1,\,2)$ and satisfies the differential equation $\frac{dy}{dx}=\frac{-2xy}{({{x}^{2}}+1)}$is
	Equation of curve through point $(1,\,0)$which satisfies the differential equation $(1+{{y}^{2}})dx-xydy=0$, is
	Equation of curve passing through (3, 9) which satisfies the differential equation $\frac{dy}{dx}=x+\frac{1}{{{x}^{2}}}$, is
	The differential equation $y\frac{dy}{dx}+x=a$(a is any constant) represents
	The equation of a curve passing through $\left( 2,\frac{7}{2} \right)$ and having gradient $1-\frac{1}{{{x}^{2}}}$at$(x,\,y)$is
	The equation of the curve through the point (1,0) and whose slope is $\frac{y-1}{{{x}^{2}}+x}$is
	The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes though the point (4, 3). The equation of the curve is