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General solution of y(dy)/(dx) + by^(2)=...

General solution of `y(dy)/(dx) + by^(2)=a cos x, 0 lt x lt 1` is

A

`y^2=2a(2bsinx+cosx)+ce^(-2bx)`

B

`(4b^2+1)y^2=2a(sinx+2bcosx)+ce^(-2bx)`

C

`(4b^2+1)y^2=2a(sinx+2bcosx)+ce^(2bx)`

D

`y^2=2a(2bsinx+cosx)+ce^(-2bx)`

Text Solution

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The correct Answer is:
B
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