Shwet Goyal posted an Question
February 25, 2022 • 04:03 am 30 points
  • IIT JAM
  • Mathematics (MA)

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

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

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