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A function f: R rarr R satisfies sin x c...

A function `f: R rarr R` satisfies sin `x cosy (f(2x2y))-f(2x-2y))= cosxsiny(f(2x+2y))+f(2x-2y))` If `f'(0)=1/2` , then

A

`f''(x) = f(x) =0`

B

`4f''(x) = f(x) =0`

C

`f''(x) + f(x) =0`

D

`4f''(x) -f(x)=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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