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The solution of x^(2) (dy)/(dx) = sqrt(4...

The solution of `x^(2) (dy)/(dx) = sqrt(4 - y^(2))` is

A

`Cos^(-1) (y//2) + 1//x = c`

B

`Tan^(-1) (y//2) + 1//x = c`

C

`Sin^(-1) (y//2) =1//x = c`

D

`Sin^(-1) (y//2) + 1//x = c`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The solution of 2xy (dy)/(dx) =1 + y^(2) is

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  2. The general solution of (dy)/(dx) + (sqrt(1 - y^(2)))/(sqrt(1 - x^(2))...

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  3. The solution of x^(2) (dy)/(dx) = sqrt(4 - y^(2)) is

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  4. The general solution of (dy)/(dx) + (sqrt(1 - y^(2)))/(sqrt(1 - x^(2))...

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  5. The general solution of x sqrt(1 + y^(2)) dx + y sqrt(1 + x^(2)) dy = ...

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  6. The solution of x sqrt(1 - y^(2)) dx + y sqrt(1 - x^(2)) dy = 0 is

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  7. The solution of sqrt(1 + x^(2)) dx + sqrt(1 + y^(2)) dy = 0 is

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  8. The solution of (dy)/(dx) + (y^(2) + y +1)/(x^(2) + x + 1) = 0 is

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

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

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  11. The solution of e^(x-y) dx + e^(y-x) dy = 0 is

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  12. The solution of (dy)/(dx) = e^(2x-y) + x^(3) e^(-y) is

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  13. The general solution of tanysec^(2) x dx + tan x sec^(2) y dy = 0 is

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  14. If y = y (x) is the solution of the differential equation ((2 + sin x)...

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  15. The solution of e^(x) cot y dx + (1- e^(x)) cosec^(2) y dy = 0 is

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  16. The solution of (e^(x) + 1) y dy + (y+ 1) dx = 0 is

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  17. The solution of e^(x) tan y dx + (1- e^(x)) sec^(2) y dy = 0 is

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  18. The solution of 3e^(x) cos^(2) y dx + (1 + e^(x)) cot y dy = 0 is

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  19. The solution of y dx - x dy + 3x^(2) y^(2) e^(x) dx = 0 is

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  20. The solution of (x^(2) - y^(2) x^(2)) (dy)/(dx) + (y^(2) + x^(2) y^(2)...

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