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The differential equation obtained by el...

The differential equation obtained by eliminating a and b from `y = ae^(bx)` is

A

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

B

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

C

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

D

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

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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