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(dy)/(dx)+(3x^2)/(1+x^3)y=(sin^2x)/(1+x^...

`(dy)/(dx)+(3x^2)/(1+x^3)y=(sin^2x)/(1+x^3)`

A

`y(1+x^(3)) = x + (1)/(2) sin 2x + C`

B

`y (1 + x^(3)) = Cx + (1)/(2) sin 2x`

C

`y(1+x^(3))= Cx - (1)/(2) sin 2x`

D

`y(1 + x^(3)) = (x)/(2) - (1)/(4) sin 2x + C`

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The correct Answer is:
D
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BITSAT GUIDE-DIFFERENTIAL EQUATIONS-BITSAT ARCHIVES
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  2. The form of the differential equation of the central conics ax^(2) + b...

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  3. The solution of the differential equation (x+(x^3)/(3!)+(x^5)/(5!)+)/...

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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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