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###### Shwet Goyal posted an Question
February 24, 2022 • 22:33 pm 30 points
• IIT JAM
• Mathematics (MA)

# Let (-c,c) be the largest open interval in r (where c is either a positive real number or c = o) on which the solution y(x) of the differential equation =x+y2 +

Let (-c,c) be the largest open interval in R (where c is either a positive real number or c = o) on which the solution y(x) of the differential equation =x+y2 +1 with initial condition y(0) =0 exists and is unique. Then which of the following is/are true? Options yCx)) has a local minimum at 0. B. y(x) is an odd function on (-c, c). cyx)) has a local maximum at 0. D. x) is an even function on (-c, c). 22/33

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