Let f: [0, 1] → R be such that f(xy) = f(x)·f(y), for all x, y ∈ [0, 1], and f(0) ≠ 0. If y = y(x) satisfies...

Question

Let f: [0, 1] → R be such that f(xy) = f(x)·f(y), for all x, y ∈ [0, 1], and f(0) ≠ 0. If y = y(x) satisfies the differential equation, dy dx = f(x) with y(0) = 1, then y ( 14 ) + y ( 34 ) is equal to:

Accepted Answer

(B)

JEE Main 2019 Mathematics question

Solution