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Obtion the differential equation by elin...

Obtion the differential equation by elininating arbitrary constants A, B from the equation - `y=A cos (logx)+B sin (logx)`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. The differential equation for y=a sin (5x+c) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Solution of the differential equation xy^(3)(dy)/(dx)=1-x^(2)+y^(2)-x^...

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  20. Solution of the differrential equation (dy)/(dx)=xsqrt(25-x^(2)) is

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