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The differential equation for y=Acosalph...

The differential equation for `y=Acosalphax+Bsinalphax` where A and B are arbitrary constants is

A

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

B

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

C

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

D

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

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. If y=e^-x(Acosx+Bsinx) then y is a solution of

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  2. The complete solution of the differential equation (dy)/(dx)=2x+5 is

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  3. The differential equation for y=Acosalphax+Bsinalphax where A and B ar...

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  4. Which of the following is not a homogneous function x and y?

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  5. Solution of the differential equation (dy)/x+y(dy)/y=0 is

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  6. Which of the following is a second order differential equation:

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  7. Solution of differential equation x dy-y dx=0 represents

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

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  9. Solution of the differential equation tany sec^(2)xdx+tanxsec^(2)ydy=0...

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  10. Family Y=Ax+A^(3) of curves is represented by the differential equatio...

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

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  12. The solution of (dy)/(dx)-y=1 ,y(0)=1 is given by

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

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  14. Find the second order derivative of the following functions If y = a...

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  15. The order and degree of the differential equation (d^4y)/(dx^4)=y+((dy...

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

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

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  18. The general solution of e^(x)cosydx-e^(x)sinydy=0 is

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

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  20. The solution of the differntial equations cosx sinydx+sinx cosy dy=0 i...

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