Let y=y(x) is a solution of (dy)/(dx)=f(...

Let `y=y(x)` is a solution of `(dy)/(dx)=f(x)` where `f(xy)=f(x)f(y) AA x,y in R` and `f(0)!=0` and `y(0)=1/2`, then `y(1/4)+y(3/4)` is equal to (1)1 (2)2 (3) 3 (4) 4

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