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

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

A

`x = c e^(2x^(2)//2y^(2))`

B

`y = c e^(2x^(2)//2y^(2))`

C

`y = ce^(x^(2)//2y^(2))`

D

`x = c e^(x^(2)//2y^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The equation of curve passing through (pi^2/4,1), which has a solution...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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