If the straight line y = x meets y = f ( x ) at P , where f x is a solution of the differential equation d y d x = x 2 + x y x 2 + y 2 such that f 1 = 3 , then the value of f ′ x at the point P is

Question

If the straight line y = x meets y = f ( x ) at P , where f x is a solution of the differential equation d y d x = x 2 + x y x 2 + y 2 such that f 1 = 3 , then the value of f ′ x at the point P is, 3 5, 5 3, 2, 1

MARKS App · Accepted Answer

Note f ′ x = d y d x = 1 + y x 1 + y x 2 At point P , y x = 1 So, d y d x P = 1 + 1 1 + 1 = 1

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