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The differential equation obtained by el...

The differential equation obtained by eliminating the arbitrary constant a and b from `xy = ae^(x) + be^(-x)` is

A

`xy_(2) + 2y_(1) + xy = 0`

B

`xy_(2) - 2y_(1) + xy = 0`

C

`xy_(2) + 2y_(1) - xy = 0`

D

`xy_(2) - 2y_(1) -xy = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  4. The differential equation which represents the family of curves y = c(...

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

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  6. The differential equation by eliminating A & B from y = A x^(3) + B x^...

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

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

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

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

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  11. The differential equation of the family of circles of fixed radius r a...

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  12. The differential equation of the family of parabolas with focus at ori...

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  13. The differential equation of the system of curves given by (x^(2))/(a^...

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  14. The solution of (xdx + ydx)/(x^(2) + y^(2)) = 0 is

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

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  16. Tan^(-1)(x) + Tan^(-1)(y) = c is the solution of

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  17. The solution of xd(xy) = ((f(xy))/(f^(1)(xy)))dx is

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  18. The solution of (e^(x) + 1) y dy + (y+ 1) dx = 0 is

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  19. If 2f(x) = f'(x) and f(0) = 3 then f(2) =

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  20. The solution of (dy)/(dx) = (x log x^(2) + x)/(sin y + y cos y) is

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