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The differential equation of the family ...

The differential equation of the family of straight lines `y = mx + a//m` where m is the parameter, is

A

`x (dy)/(dx) = a`

B

`(x-y) (dy)/(dx) = a`

C

`x ((dy)/(dx))^(2) - y (dy)/(dx)`

D

`x ((dy)/(dx))^(2) - y (dy)/(dx) + a = 0`

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 differential equation of the family of straight lines y = mx + a//...

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  2. From the differential equation by eliminating the arbitrary constant f...

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  3. If c is parameter then the differential equation whose solution is y =...

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  4. The differential equation whose solution is y^(2) = 4ax, where a is an...

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  5. Form the differential equation by eliminating the arbitrary constant f...

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  6. The differential equation whose solution is y = ce^(-2x), where c is a...

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  7. Form the differential equation by eliminating the arbitrary constant f...

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  8. Form the differential equation by eliminating the arbitrary constant f...

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  9. The differential equation which represents the family of curves y = c(...

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  10. The differential equation whose solution is y = Ae^(3x) + Be^(-3x), wh...

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  11. The differential equation obtained by eliminating the arbitrary consta...

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  12. Form the differential equation by eliminating a, b from y = ae^(3x) + ...

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  13. Form the differential equation by eliminating the arbitrary constant f...

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  14. y = Ae^(x) + Be^(2x) + Ce^(2x) satisfies the differental equation

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  15. The differential equation of the family y = ae^(x) + bx e^(x) + vx^(2)...

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  16. Let p in IR, then the differential equation of the family of curves y ...

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  17. Form the differential equation from ax^(2) + by^(2) = 1

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  18. Form the differential equation by eliminating the arbitrary constant f...

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  19. Form the differential equation by eliminating the arbitrary constant f...

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  20. Form the differential equation by eliminating the arbitrary constant f...

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