A function f: R->R satisfies sinxcosy(f(...

A function `f: R->R` satisfies `sinxcosy(f(2x+2y)-f(2x-2y)=cosxsiny(f(2x+2y)+f(2x-2y))dot` If `f^(prime)(0)=1/2,t h e n` (a)`f^(primeprime)(x)=f(x)=0` (b)`4f^(primeprime)(x)+f(x)=0` (c)`f^(primeprime)(x)+f(x)=0` (d)`4f^(primeprime)(x)-f(x)=0`

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