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For x in RR , let the function y(x) be ...

For `x in RR` , let the function y(x) be the solution of the differential equation
`(dy)/(dx) +12 y = cos (pi/12 x), 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

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