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The differential equation which represen...

The differential equation which represents the family of curves `y = c_(1) e^(c_(z)x)`, where `c_(1) and c_(2)` are arbitrary constants, is

A

`y'' = yý`

B

`yy'' = y'`

C

`yy'' =(y')^(2)`

D

`y'= y^(2)`

Text Solution

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The correct Answer is:
C
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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. Form the differential equation by eliminating the arbitrary constant f...

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

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

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

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

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

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

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

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

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

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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 the arbitrary constant f...

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

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

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