Let f : [0,1] → R be such that f (xy) = f (x) . f (y) for allx , y , ∊ [0,1] , and f (0) ≠ 0. If y = y (x) satisfies thedifferential equation, \frac{dy}{dx} = f (x) with y (0) = 1 , then y (1/4) + y (3/4) is equal to : [9 Jan 2019 Shift 2]

Differential Equations Part 1

Section: Mathematics

Question : 69 of 100

Marks: +1, -0

Let f : [0,1] → R be such that f (xy) = f (x) . f (y) for allx , y , ∊ [0,1] , and f (0) ≠ 0. If y = y (x) satisfies thedifferential equation,

= f (x) with y (0) = 1 , then y (

) + y (

) is equal to :

[9 Jan 2019 Shift 2]

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