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A function y=f(x) satisfies the differen...

A function `y=f(x)` satisfies the differential equation `(dy)/(dx)-y= cosx-sin x` with initial condition that y is bounded when `x _> oo`. The area enclosed by `y=f(x), y=cos x` and the y-axis is

A

`sqrt(2)-1`

B

`sqrt(2)`

C

1

D

`1/sqrt(2)`

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The correct Answer is:
A
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