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

Let `f : [0, 1]toR` be such that `f(xy)=f(x)xxf(y)` for all x, `y in [0,1]" and " f(0)ne0." if ' y=y(x)` satisfues the differential equation, `dy/dx=f(x)" with"y(0)=1," then "y(1/4)+y(3/4)` is

A

5

B

4

C

2

D

3

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The correct Answer is:
D
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VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE MAIN (ARCHIVE )
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