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The differential equation for y=a sin (5...

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

A

`(d^(2)y)/(dx^(2))+25y=0`

B

`(d^(2)y)/(dx^(2))-25y=0`

C

`(d^(2)y)/(dx^(2))+5y=0`

D

`(d^(2)y)/(dx^(2))-5y=0`

Text Solution

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The correct Answer is:
A
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. If y=e^(ax)sinbx, then (d^(2)y)/(dx^(2))-2a(dy)/(dx)+a^(2)y=

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the general solution of each of the following differential equat...

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  20. What is the solution of the differential equation (dy)/(dx)=xy+x+y+1...

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