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Let p in IR, then the differential equat...

Let `p in IR`, then the differential equation of the family of curves `y = (alpha + beta x) e^(px)`, where `alpha, beta` are arbitrary constants, is

A

`y'' + 4py'+ p^(2) y = 0`

B

`y'' - 2py'+ p^(2) y = 0`

C

`y'' + 2py'- p^(2) y = 0`

D

`y'' + 2py'+ p^(2) y = 0`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
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  2. The differential equation of the family y = ae^(x) + bx e^(x) + vx^(2)...

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

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

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

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

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

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

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

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  15. The differential equation of family of circles of fixed radius 5 units...

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  16. The differential equation of all circles passing through the origin an...

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  17. The differential equation of family of curves x^(2) + y^(2) - 2ay = 0 ...

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  18. The differential equation of the family of parabolas having vertices a...

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  19. The differential equation of the family of parabola with focus at the ...

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  20. The differential equation of the family of parabola with vertex at (0,...

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