The solution of differential equation (s...

The solution of differential equation `(sin^(4)x+cos^(4)x)(dy)/(dx)=1` is :

A

`y=(1)/(sqrt(2))tan^(-1)((sinx-cosx)/(sqrt(2)))+c`

B

`y=(1)/(sqrt(2))tan^(-1)((tanx-cotx)/(sqrt(2)))+c`

C

`y=(1)/(sqrt(2))tan^(-1)((sinx+cosx)/(sqrt(2)))+c`

D

None of the above

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