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A function y = f(x) satisfying the diff...

A function `y = f(x)` satisfying the differential `(dy)/(dx)*sin x -y cos x+sin^2 x/x^2=0` such that , `y -> 0` as `x -> oo` then :

A

`lim_(xto0)f(x)=1`

B

`int_(0)^(pi//2)f(x)dx` is less than `(pi)/(2)`

C

`int_(0)^(pi//2)f(x)dx` is greater than unity

D

f(x) is an odd function

Text Solution

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The correct Answer is:
A, B, C, D
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