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A family of curves has the differential ...

A family of curves has the differential equation `xy(dy)/(dx)=2y^(2)-x^(2)`. Then, the family of curves is

A

`y^(2) = x + c x^(4)`

B

`y^(2) = x^(2) + c x^(4)`

C

`y^(2) = c x^(4) + x^(3)`

D

`y^(2) = c x^(2) + x^(3)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. If x(dy)/(dx) = y (log y - log x +1), then the solution of the equat...

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

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  3. A family of curves has the differential equation xy(dy)/(dx)=2y^(2)-x^...

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  4. An equation of the curve satisfying xdy - ydx = sqrt(x^(2) - y^(2))dx ...

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  5. The solution of x cos. (y)/(x) (y dx + x dy) = y sin.(y)/(x) (x dy - y...

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  6. The general solution of the differential equation x^2 y dx - (x^3 + y^...

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  7. The solution of the differential equation xy' = 2xe^(-y//x) + y is

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

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  9. The solution of (dy)/(dx) = (x + y +1)/(x + y -1) is

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  10. The solution of the differential equation (dy)/(dx) = (x-2y +1)/(2x-4y...

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  11. The solution of cos^(2) x (dy)/(dx) + y = tan x is

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  12. The solution of (dy)/(dx) + y cot x = 4x cosec x, given that y = 0, x ...

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  13. The general solution of (y^(5)+x)(dy)/(dx) = y is

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  14. The solution of x^(2) (dy)/(dx) + (x-2) y = x^(2) e^(-2//x) is

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  15. The solution of cos x(dy)/(dx) + y = sin x is

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  16. Solve the following differential equations. x(x-1)(dy)/(dx)-(x-2)y=x...

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  17. The solution of y dx - x dy + log x dx = 0 is

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  18. The solution of (1+x^(2)) (dy)/(dx) + y = e^(Tan^(-1)x) is

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  19. The solution of (1)/(x)(dy)/(dx) + y e^(x) = e^((1-x)^(e^(x))) is

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  20. Which of the following statement is correct ? Statement I if dy+2xyd...

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