Let f:[0,1] rarr R be such that f(xy)=f(...

Let `f:[0,1] rarr R` be such that `f(xy)=f(x).f(y),` for all
`x,y in [0,1]` and `f(0) ne 0.` If `y=y(x)` satisfies the
differential equation, `dy/dx=f(x)` with `y(0)=1,` then
`y(1/4)+y(3/4)` is equql to

A

4

B

3

C

5

D

2

Verified by Experts

The correct Answer is:

B

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