Questions in diff-equation

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The differential equation whose solution is $y=A\sin x+B\cos x,$ is
The differential equation of the family of curves $y=a\cos (x+b)$ is
The differential equation for all the straight lines which are at a unit distance from the origin is
If $y=c{{e}^{{{\sin }^{-1}}x}}$, then corresponding to this the differential equation is
The differential equation of the family of curves represented by the equation ${{x}^{2}}y=a$, is
The elimination of the arbitrary constant m from the equation $y={{e}^{mx}}$gives the differential equation
The differential equation whose solution is $y={{c}_{1}}\cos ax+{{c}_{2}}\sin ax$ is (Where ${{c}_{1}},\ {{c}_{2}}$are arbitrary constants)
The differential equation for the line $y=mx+c$ is (where c is arbitrary constant)
The differential equation of all straight lines passing through the point $(1,\,-1)$is
The differential equation of the family of curves ${{y}^{2}}=4a(x+a)$, where a is an arbitrary constant, is

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