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y = ce^(kx) is the solution of the diffe...

`y = ce^(kx)` is the solution of the differential equation :

A

`(dx)/(dy) = -kx`

B

`(dx)/(dy)=kx`

C

`(dy)/(dx) = -kx`

D

`(dy)/(dx) = ky`

Text Solution

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The correct Answer is:
D
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PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. The intergrating function of (dx)/(dy) + Px = Q is :

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  2. If y = ax^(2)+bx + c = 0 where a,b,c are arbitrary constants then t...

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  3. y = ce^(kx) is the solution of the differential equation :

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  4. The order and degree of the differential equation sinx (dx+ dy) = cos ...

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  5. The order and degree of the differential equation sin^(3)x (dx + dy)...

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  6. The differential equation for which solution is y = ae^(3x) +be^(-3x) ...

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  7. The integrating factor of (dy)/(dx)+(1)/(xlogx)y= (2)/(x^(2)) is :

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  8. The degree of the differential equation (y' - 2y '' ) ^(2) = (y')^(4) ...

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  9. If f'(x) = sqrt(x) and f(1) = 2 then f(x) is :

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  10. The order and degree of the differential equation (d^(2)y)/(dx^(2))- y...

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  11. The differential equation of the family of lines y = mx is :

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  12. If (dy)/(dx)= (x-y)/(x+y) then its solution is :

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  13. The integrating factor for (dy)/(dx) - 2y tan x = cos x is :

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  14. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

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  15. Which of the following is a solution of (d^(2)y)/(dx^(2))+ y = 0 :

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  16. The differential equation formed by eliminating A and B for the relat...

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  17. If xy=a^(2) where a is arbitrary constant then :

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  18. The order and degree of the differential equation y'' (y - (y')^(3))...

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  19. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

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  20. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

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