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The solution of the different equation (...

The solution of the different equation `(2x - 4y + 3)(dy)/(dx) + (x - 2y + 1) = 0` is

A

`log [(2x -4y) + 3] = x -2y + c`

B

`log [2 (2x-4y) + 3] = 2(x-2y) + c`

C

`log [2(x-2y) + 5] = 2 (x + y) + c`

D

`log [4(x -2y) + 5] = 4 (x + 2y) + c`

Text Solution

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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 (dy)/(dx) = (x + y +1)/(x + y -1) is

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

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

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  4. The solution of (dy)/(dx) = (x + 7y + 2)/(3x + 5y + 6) is

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  5. Solve the following differential equations. (dy)/(dx)+(10x+8y-12)/(7...

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  6. The solution of (x + y +1) dx + (3x + 4y + 4) dy = 0 is

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  7. The solution of (3y -7x + 7) dx + (7y -3x + 3) dy = 0 is

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

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  9. Integrating factor of sin x (dy)/(dx) + y cos x = sin 2x is

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  10. Integrating factor of (dy)/(dx) + ((x sin x + cos x)/(xcosx) )y=1/(xc...

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  11. Integrating factor of (dy)/(dx) - (2)/(x +1) y = (x + 1)^(2) is

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  12. Integrating factor of the differential equation (1-x^(2)) (dy)/(dx) + ...

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  13. An integrating factor of the equation (1 + y + x^(2)y) dx + (x + x^(3)...

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  14. The solution of (dy)/(dx) + (3x^(2) y)/(1 + x^(3)) = (sin^(2) x)/(1 + ...

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  15. The solution of (x^(2) -1) (dy)/(dx) + 2xy = 1 is

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  16. The solution of (x^(2) + 1) (dy)/(dx) + 4xy = (1)/(x^(2) + 1) is

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  17. The solution of (1 + x^(2)) (dy)/(dx) + 2xy - 4x^(2) = 0 is

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  18. The solution of (1-x^(2)) (dy)/(dx) + 2xy = x sqrt(1 -x^(2)) is

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

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  20. The solution of the differential equation (dy)/(dx) - 2y tan 2x = e^(x...

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