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The differential equationby eliminating ...

The differential equationby eliminating arbitrary constants from the equation `y = A e^(5x) + Be^(-2x)` is

A

`(d^(2)y)/(dx^(2)) + 3(dy)/(dx) - 10 y = 0`

B

`(d^(2)y)/(dx^(2)) - 7 (dy)/(dx) - 10 y = 0`

C

`(d^(2)y)/(dx^(2)) - 3(dy)/(dx) - 10 y = 0`

D

`(d^(2)y)/(dx^(2)) + 7(dy)/(dx) + 10 y = 0`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
  1. The degree and order of the differential equation of the family of all...

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  2. The differential equation by eliminating A and B from y = Ae^(3x) + Be...

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  3. The differential equationby eliminating arbitrary constants from the e...

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  4. The differential equation by eliminating A, B from y = 5e^(5x)(Ax+B) i...

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  5. The differential equation by eliminating A, B from y = e^(2x) = (A cos...

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  6. The differential equation by eliminating A, B, C from y = Ae^(2x) + Be...

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  7. y=Ae^(x)+Be^(2x)+Ce^(3x) satisfies the differential equation

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  8. The differential equation by eliminating A, B from y = e^(3x)(A+Bx + C...

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

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

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

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

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

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  14. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

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  15. The solution of the equation (dy)/(dx) = e^(-2x) is

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  16. The solution of the cosec^(2x)(dy)/(dx) - (1)/(y) = 0 is

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  17. The solution of (dy)/(dx) = ((y)/(x))^(1//3) is

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  18. The solution of sqrt(1 + x^(2)) dx + sqrt(1 + y^(2)) dy = 0 is

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  19. The solution of x^(2) (dy)/(dx) = sqrt(4 - y^(2)) is

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  20. The solution of 3e^(x) cos^(2) ydx+(1-e^(x)) cot y dy = 0 is

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