For x ∈ R , let the function y(x) be the solution of the differential equation dx dy + 12y = cos ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π x 12 , y(0) = 0. Then, which of the following statements is/are TRUE ?

y(x) is an increasing function
y(x) is a decreasing function
There exists a real number β such that the line y = β intersects the curve y = y(x) at infinitely many points
y(x) is periodic function

Correct answer: There exists a real number β such that the line y = β intersects the curve y = y(x) at infinitely many points

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