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Vijay posted an Question
July 21, 2022 • 11:13 am 30 points
  • CSIR NET
  • Mathematical Sciences

Q.21 on the open interval (-c, c), where c is a positive real number, y(x) is an infinitely differentiable solution of the differential equation = y2 -1+ cos x,

Q.21 On the open interval (-c, c), where c is a positive real number, y(x) is an infinitely differentiable solution of the differential equation = y2 -1+ cos x, with the initial condition y(0) = 0. Then which one of the following is correct? (A) y(x) has a local maximum at the origin. (B) y(x) has a local minimum at the origin. (C) y(x) is strictly increasing on the open interval (-8, 0) for some positive real number 6S. (D) y(x) is strictly decreasing on the open interval (-8,0) for some positive real number 8. un cblolblle

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