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If y=e^(ax)sinbx, then (d^(2)y)/(dx^(2))...

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

A

`-a^(2)y`

B

`-b^(2)y`

C

`-ay`

D

`-by`

Text Solution

Verified by Experts

The correct Answer is:
B
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. The differential equation for y=ae^(x)+be^(-2x) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The solution of the differential equationn (d theta)/(dt)=-k(theta-the...

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  17. Solution of the differential equation (dy)/(dx)=(y(1+x))/(x(y-1)) is

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  18. Solution of the differential equation (dy)/(dx)=x^(2)y+y is

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  19. Solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is

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  20. The solution of the differential equation (1-x^2)(1-y)dx=x y(1+y)dy ...

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