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If y=y(x) satisfies the differential equ...

If `y=y(x)` satisfies the differential equation `8sqrt(x)(sqrt(9+sqrt(x)))dy=(sqrt(4+sqrt(9+sqrt(x))))^(-1)dx ,x >0a n dy(0)=sqrt(7,)` then `y(256)=` 16 (b) 80 (c) 3 (d) 9

A

16

B

3

C

9

D

80

Text Solution

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The correct Answer is:
B
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If y=y(x) satisfies the differential equation 8sqrt(x)(sqrt(9+sqrt(x)))dy=(sqrt(4+sqrt(9+sqrt(x))))^(-1)dx,x>0 and y(0)=sqrt(7,) then y(256)=(A)16(B)80(C)3(D)

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