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Q.

Let f:0,R be such that  f(x/y)=f(x)/f(y), for all x,y(0,)  ,f12=14,If  y=y(x) satisfies the differential equation, dydx=f(x)  such that y(1)=1/3  then y(3) is equal to

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a

14

b

3

c

9

d

27

answer is C.

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Detailed Solution

f(x/y)=f(x)/f(y)f(x)=xn,f(1/2)=1/4 f(x)=x2 dydx=x2y=x33

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