Given that $A$ and $B$ are not null sets, which of the following statements regarding probability is/are CORRECT?

The "order" of the following ordinary differential equation is $\qquad$ .

$$ \frac{d^3 y}{d x^3}+\left(\frac{d^2 y}{d x^2}\right)^6+\left(\frac{d y}{d x}\right)^4+y=0 $$

Pick the CORRECT solution for the following differential equation $\frac{d y}{d x}=e^{x-y}$

Consider the function given below and pick one or more CORRECT statement(s) from the following choices.

$$ f(x)=x^3-\frac{15}{2} x^2+18 x+20 $$