Sahin Sk posted an Question
February 16, 2022 • 04:04 am 30 points
  • IIT JAM
  • Mathematics (MA)

Q.35 a real-valued function y(x) defined on r is said to be periodic if there exists a real number t> 0 such that y(x + t) = y(x) for all x e r. consider the di

Q.35 A real-valued function y(x) defined on R is said to be periodic if there exists a real number T> 0 such that y(x + T) = y(x) for all x E R. Consider the differential equation +4y = sin(ax), xe R where a E Ris a constant. Then which of the following is/are true? (A) All solutions of (*) are periodic for every choice of a. (B) All solutions of () are periodic for every choice of a E R--2,2). (C) All solutions of () are periodic for every choice of a e Q-{-2,23. (D) If a E R- Q, then there is a unique periodic solution of (*). K6ojouya

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