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The differential equation of the family ...

The differential equation of the family of curves ` y= c_(1)e^(x) +c_(2)e^(-x)` is

A

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

B

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

C

`(d^(2)y)/(dx^(2))+1=0`

D

`(d^(2)y)/(dx^(2))-1=0`

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. From the differential equation by eliminating A and B in Ax^(2)+By^(2...

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  2. The differential equation obtained by eliminating a and b from y = ae^...

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  3. The differential equation of the family of curves y= c(1)e^(x) +c(2)e...

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  4. The differential equation for y=Ae^(3x)+Be^(-3x) is

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  5. The differential equation for y=e^(x)(a+bx) is

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  6. The differential equation for y=ae^(x)+be^(-2x) is

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  7. The differential equation for y=Ae^(3x)+Be^(2x) is

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  8. If y=e^(ax)sinbx, then (d^(2)y)/(dx^(2))-2a(dy)/(dx)+a^(2)y=

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  9. The differential equation satistied by the family of curves y-axcos(1/...

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  10. The differential equation for y=a sin (5x+c) is

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  11. The differential equation for y=c(1)sinx+c(2)cosx is

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  12. Obtion the differential equation by elininating arbitrary constants A,...

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  13. The differential equation for y=e^(x)(acosx+bsinx) is

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  14. xy=logy+c is a solution of the differential equation

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  15. y=x^(m) is a solution of the differential equation

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  16. y secx=tan x+c is a solution of the differential equation

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  17. y=(sin^(-1)x)^(2)+c is a solution of the differential equation

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  18. Verify the solution problems: Show that y = e^-x + ax +b is solution o...

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  19. y=logx+c is a solution of the differential equation

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  20. Solution of the differtial equation y-x(dy)/(dx)=0 is

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