Consider the following statements in respect of the function f(x) = sin x:

1. f(x) increases in the interval (0, π).

2. f(x) decreases in the interval $\left(\dfrac{5\pi}{2},3\pi\right).$

Which of the above statements is/are correct?

What is the domain of the function f(x) = 3^x?

If the general solution of a differential equation is y² + 2cy - cx + c² = 0, where c is an arbitrary constant, then what is the order of the differential equation?

What is the degree of the following differential equation?

$\rm x=\sqrt{1+\frac{d^2y}{dx^2}}$