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Integrating factor of the differential e...

Integrating factor of the differential equation `(x.logx)(dy)/(dx)+y=2logx` is

A

`e^(x)`

B

log x

C

log(logx)

D

x

Text Solution

Verified by Experts

The correct Answer is:
b
Given differential equation can be rewritten as
` (dy)/(dx) + 1/(x log x) *y = 2/x`
` (dy)/(dx) + 1/(x log x) *y = 2/x`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
  1. The integrating factor of the differential equation (y log y) dx = (l...

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  2. The solution of the differential equation (dy)/(dx) = 1/(x+y^(2)) is

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  3. Integrating factor of the differential equation (x.logx)(dy)/(dx)+y=2l...

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  4. Solution of the equation x^(2)y - x^(3)(dy)/(dx)=y^(4)cosx , when y(0)...

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  5. The solution of the differential equation (1+y^2)+(x-e^(tan^-1y))dy/dx...

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  6. The solution of the differential equation (dy)/(dx)=(x+y)/x satisfyi...

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  7. The integrating factor of the differential equation (dy)/(dx)+(y)/((1-...

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  8. The solution of the differential equation (dy)/(dx)-y tan x=e^(x)sec x...

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  9. (1 + x^(2)) (dy)/(dx) + 2xy = 4x ^(2), given that y = 0, when x =0

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  10. The solution of the differential equation x(dy)/(dx) = 2y + x^(3)e^(x...

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  11. The solution of the differential equation (dy)/(dx) = y tan x - 2 si...

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  12. The family of curves y = e^(a sinx) where a is an arbitrary constant ...

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  13. The differential equation of the family y = ae^(x) + bx e^(x) + cx^(2)...

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  14. The order and degree of the differential equation of all tangent lin...

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  15. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0, is

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  16. The general solution of the differential equation (dx)/(dy)+(x/y)^2-...

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  17. The general solution of the differential equaiton (1+y^(2))dx+(1+x^(2)...

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  18. The solution of (dy)/(dx)+1 = e^(x+y) is

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  19. The differential equation (dy)/(dx) = (x(1+y^(2)))/(y(1+x^(2)) repres...

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  20. If xsin((y)/(x))dy=[ysin((y)/(x))-x]dx ad y(1)=(pi)/(2), then the valu...

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