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JEE Math Practice Question

If y = y(x) is the solution of the differential equation, $${{dy} \over {dx}} + 2y\tan x = \sin x,y\left( {{\pi \over 3}} \right) = 0$$, then the maximum value of the function y(x) over R is equal to:

  1. A.$${1 \over 8}$$
  2. B.8
  3. C.$$-$$$${15 \over 4}$$
  4. D.$${1 \over 2}$$

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