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The Integrating Factor of the differenti...

The Integrating Factor of the differential equation `(1 - y^(2))(dx)/(dy) - yx = ay (-1 lt y lt 1)` is

A

`1/(y^(2)-1)`

B

`1/(sqrt(y^(2)-1)`

C

`1/(1-y^(2)`

D

`1/(sqrt(1-(y^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Which of the following is a homogeneous differential equation?

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  2. The integrating factor of the differential equation x dy/dx-y= 2x^(2) ...

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  3. The Integrating Factor of the differential equation (1 - y^(2))(dx)/(d...

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  4. The general solution of the differential equation (ydx-xdy)/y =0 is

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  5. The general solution of a differential equation of the type dx/dy + P(...

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  6. The general solution of the differential equation e^(x)dy + (ye^(x)+2x...

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  7. The degree of the differential equation (1+dy/dx)^(3) = ((d^(2)y)/dx^(...

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

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  9. The order and the degree of the equation [1+(dy/dx)^(2)] = (d^(2)y)/(d...

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  10. The order of differential equation of all circles of given radius "...

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  11. The solution of the differential equation 2x dy/dx-y=3 represent

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  12. The integrating factor of the differential equation : (dy)/(dx)(xlo...

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  13. Which of the following functions is a solution of the differential equ...

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  14. Which of the following is not a homogeneous function of x and y

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

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  16. Find the general solution of the differential equation x(dy)/(dx)+ 2y=...

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

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  18. The degree of the equation [1+(dy/dx)^(2)]^(3/2) = ((d^(2)y)/dx^(2)) i...

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

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

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