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The solution of x dx + y dy = 2 (xdy-ydx...

The solution of `x dx + y dy = 2 (xdy-ydx)` is

A

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

B

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

C

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

D

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

Text Solution

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

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

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  3. The solution of x dx + y dy = 2 (xdy-ydx) is

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

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

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

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

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  8. The solution of (dy)/(dx) = (y + x tan.(y)/(x))/(x) rArr sin.(y)/(x)=

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  9. Solve : x dy= (y+x " cos"^(2)(y)/(x))dx

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  10. Solve : x " sin"(y)/(x).(dy)/(dx)=y " sin"(y)/(x)-x

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  11. The solution of x (dy)/(dx) = y + xe^(y//x) " with " y(1) = 0 is

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

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

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

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  15. If x(dy)/(dx) = y (log y - log x +1), then the solution of the equat...

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  16. The solution of (12x + 5y -9) dx + (dx + 2y-4) dy = 0 is

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  17. The solution of (dy)/(dx) = (x-2y + 3)/(2x-y + 5) is

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

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  19. Solve (dy)/(dx)=(x-2y+1)/(2x-4y)

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  20. The solution of the different equation (2x - 4y + 3)(dy)/(dx) + (x - 2...

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