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The differential equation whose solution...

The differential equation whose solution is `y = Ae^(3x) + Be^(-3x)`, where A, B are arbitrary constant, is

A

`(d^(2)y)/(dx^(2)) = 9y`

B

`(d^(2) y)/(dx^(2)) = y`

C

`(d^(2) y)/(dx^(2)) = 3y`

D

`(dy^(2))/(dx^(2)) = 2y`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. Form the differential equation by eliminating the arbitrary constant f...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Form the differential equation by eliminating a,b from (x-a)^(2) + (y ...

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

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

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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. The differential equation of family of circles of fixed radius r and h...

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