For \( x \in R \), let the function \( y(x) \) be the solution of the differential equation \( \...

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For \( x \in R \), let the function \( y(x) \) be the solution of the differential equation \( \frac{d y}{d x}+12 y=\cos \left(\frac{\pi}{12} x\right), y(0)=0 \). The which of the following statements is/am true?
(a) \( y(x) \) is an increasing function
(b) \( y(x) \) is a decreasing function
(c) There exists a real unmber \( \beta \) such that line \( y=\beta \) intersects the curve \( y=y(x) \) at infinitely
(d) \( y(x) \) is a periodic function
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