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What is the integrating factor of the di...

What is the integrating factor of the differential equation `(1-y^(2))(dx)/(dy)=ay(-1 lt ylt1)`?

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-NCERT - FILE (Questions from NCERT Book) (Exercise 9.6)
  1. (dy)/(dx ) + 2y =sinx

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  2. Solve: (dy)/(dx)+3y=e^(-2x)

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  3. The general solution of the DE (dy)/(dx) + (y)/(x) = x ^(2) is

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  4. Find the general solution : (dy)/(dx)+(sec x)y=tan x(0 le x lt pi/2)...

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  5. Solve the differential equation (cos ^(2) x ) (dy)/(dx) + y =...

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  6. Solve x(dy)/(dx) +2y = x^2logx

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  7. The solution of x log x (dy)/(dx) + y = 2/x log x is

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  8. Find the general solution of the differential equations:(1+x^2)dy+2x ...

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  9. Find the general solution of the differential equations:x(dx)/(dy)+y-...

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  10. The solution of (x+y) (dy)/(dx)=1 is

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  11. y dx+(x-y^2)dy=0

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  12. Solve: (x+3y^2)(dy)/(dx)=y(ygt0)

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  13. The differential equations, find a particular solution satisfying the...

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  14. The differential equations, find a particular solution satisfying the...

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  15. The differential equations, find a particular solution satisfying the...

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  16. Find the equation of a curve passing through the origin given that ...

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  17. Find the equation of a curve passing through the point (0, 2) given...

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  18. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  19. What is the integrating factor of the differential equation (1-y^(2))(...

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