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The solution of the differential equatio...

The solution of the differential equation is `cos^(2) x(dy)/(dx) - (tan 2x)y = cos^(4) x, abs(x) lt (pi)/(4),` where `y((pi)/(6)) = (3 sqrt (3))/(8)` is

A

`(1)/(2), (cos2x)/(1-tan^(2) x)`

B

`(1)/(2), (sin2x)/(1-tan^(2) x)`

C

`(sin2x)/(1+tan^(2)x`

D

None of these

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The correct Answer is:
B
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STATEMENT-1 : The solution of differential equation cos^(2)x.(dy)/(dx) - y tan 2x = cos^(4)x , where |x| lt (x)/(4) and y((pi)/(6)) = (3sqrt(3))/(8) is y = (sin 2x)/(2(1-tan^(2) x) and STATEMENT-2 : The integrating factor of the given differential equation is |(1- tan^(2)x)| .

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BITSAT GUIDE-DIFFERENTIAL EQUATIONS-BITSAT ARCHIVES
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  4. The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(...

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  5. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

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  6. By eliminating the arbitrary constant A and B from y = Ax^(2)+Bx we g...

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  7. The order and degree of the differential equation sqrt((dy)/(dx))-4(dy...

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  8. The differential equation of all non-vertical lines in a plane, is

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  9. The solution of dy/dx=(alphax+g)/(by+f) represents a circle, when

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  10. the equation of the curve satisfying the equation (xy - x^(2)) (dy)/(d...

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  11. The solution of the differential equation (dy)/(dx) = (xy + y)/(xy +x)...

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  12. The solution of the differential equation xy^(2) dy - (x^(3) + y^(3)) ...

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  13. The solution of the differential equation (dy)/(dx)-y tan x=e^(x)sec x...

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  14. The solution of differential equation (dy)/(dx) + (2xy)/(1+x^(2)) = (1...

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  15. Which one of the following differential equation represents the system...

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  16. The general solution of the differential equation (2x - y + 1) dx + (...

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  17. The degree of the differential equation y(x) = 1 + (dy)/(dx) + (1)/(1*...

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  18. The solution of x^(2) +y^(2) - 2xy (dy)/(dx) = 0 is

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