For $x \in \mathbb { R }$, let the function $y ( x )$ be the solution of the differential equation $$\frac { d y } { d x } + 12 y = \cos \left( \frac { \pi } { 12 } x \right) , \quad y ( 0 ) = 0$$ Then, which of the following statements is/are TRUE ? (A) $y ( x )$ is an increasing function (B) $y ( x )$ is a decreasing function (C) There exists a real number $\beta$ such that the line $y = \beta$ intersects the curve $y = y ( x )$ at infinitely many points (D) $y ( x )$ is a periodic function
For $x \in \mathbb { R }$, let the function $y ( x )$ be the solution of the differential equation
$$\frac { d y } { d x } + 12 y = \cos \left( \frac { \pi } { 12 } x \right) , \quad y ( 0 ) = 0$$
Then, which of the following statements is/are TRUE ?
(A) $y ( x )$ is an increasing function\\
(B) $y ( x )$ is a decreasing function\\
(C) There exists a real number $\beta$ such that the line $y = \beta$ intersects the curve $y = y ( x )$ at infinitely many points\\
(D) $y ( x )$ is a periodic function