The differential equation of all straight lines passing through the origin is

The differential equation of $y = A{e^{2x}} + B{e^{ - 2x}}$ is (where $A$ and $B$ are arbitrary constants):

If the order and degree of the differential equation corresponding to the family of curves $(x-2)^2+(y-a)^2=b^2$, (where $a$ and $b$ are parameters) are $m$ and $n$ respectively, then $m^2+n=$

The differential equation of the family of curves $y=e^{x}(A \cos x+B \sin x)$ where $A, B$ are arbitrary constants is

Let $a$ and $b$ be arbitrary constants and $C$ be a fixed constant. If $y = a e^{2x} + b x e^{2x} + C$ is the general solution of a differential equation,then the order of that differential equation is

If $y=e^{4x}+2e^{-x}$ satisfies the equation $\frac{d^2y}{dx^2}+A\frac{dy}{dx}+By=0$,then the values of $A$ and $B$ are respectively: