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The integrating factor of (dy)/(dx)+(1)/...

The integrating factor of `(dy)/(dx)+(1)/(xlogx)y= (2)/(x^(2))` is :

A

logx

B

`e^(x)`

C

`1/x`

D

`log logx`

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The correct Answer is:
A
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The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

(dy)/(dx)+(y)/(xlogx)=(sin2x)/(logx)

x(dy)/(dx)+y=xlogx

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

(dy)/(dx) = (x^(2)+y^(2))/(xy)

The integrating factor for (dy)/(dx) - 2y tan x = cos x is :

(dy)/(dx) = (1 + x^(2))(1 + y^(2))

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

Solve (dy)/(dx)=((x+y)^2)/((x+2)(y-2))

The solution of (dy)/(dx) + y/x = y^2/x^2 is :

PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. The order and degree of the differential equation sin^(3)x (dx + dy)...

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  2. The differential equation for which solution is y = ae^(3x) +be^(-3x) ...

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  3. The integrating factor of (dy)/(dx)+(1)/(xlogx)y= (2)/(x^(2)) is :

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  4. The degree of the differential equation (y' - 2y '' ) ^(2) = (y')^(4) ...

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  5. If f'(x) = sqrt(x) and f(1) = 2 then f(x) is :

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

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  7. The differential equation of the family of lines y = mx is :

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  8. If (dy)/(dx)= (x-y)/(x+y) then its solution is :

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  9. The integrating factor for (dy)/(dx) - 2y tan x = cos x is :

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  10. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

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  11. Which of the following is a solution of (d^(2)y)/(dx^(2))+ y = 0 :

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  12. The differential equation formed by eliminating A and B for the relat...

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  13. If xy=a^(2) where a is arbitrary constant then :

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  14. The order and degree of the differential equation y'' (y - (y')^(3))...

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  15. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

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  16. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

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  17. The solution of the equation (dx)/(dy) + Px = Q where P and Q are func...

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  18. The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y +...

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  19. If y^(2) = 4ax where a is constant then the differential equation for...

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  20. The differential equation formed if y = (A - Bx ) e^(-2x) is :

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