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If y=e^(-x)(Acosx+Bsinx), then y satisf...

If `y=e^(-x)(Acosx+Bsinx)`, then y satisfies :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The degree of the equation [1+(dy/dx)^(2)]^(3/2) = ((d^(2)y)/dx^(2)) i...

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  2. The order and degree of the differential equation (d^(2)y)/dx^(2) + (d...

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  3. If y=e^(-x)(Acosx+Bsinx), then y satisfies :

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  4. The differential equation for y = A cos alpha x + B sin alpha x Where ...

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  5. Solution of the differential equation xdy-ydx =0 represents

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  6. Integrating factor of the differential equation cos x dy/dx + y sin x ...

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  7. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

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  8. The family y=ax+a^3 of curves is represented by the differential equat...

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  9. Integrating factor of x(dy)/(dx) -y = x^(4) -3x is

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  10. Solution of dy/dx-y =1, y(0) =1 is given by

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  11. The number of solutions of dy/dx = (y+1)/(x-1) when y(1) = 2 is

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  12. Which of the following is a second order differential equation?

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  13. Integrating factor of the differential equation (1-x^(2)) dy/dx- xy =1...

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  14. tan^(-1)x+tan^(-1)y = c is the general solution of the differential eq...

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  15. The differential equation y(dy)/(dx)+x=c represents

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  16. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

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  17. The degree of the differential equation (d^(2)y)/dx^(2) + (dy/dx)^(3) ...

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  18. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is :

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  19. Find the general solution of the differential equation (dy)/(dx) = (1 ...

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  20. The integrating factor of (dy)/(dx)+y=(1+y)/x is

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