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The population of a village increases co...

The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 0,000 in 1999 and 25000 in the year 2004, what will be the population of the village in 2009 ?

A

31250

B

3125

C

312500

D

None

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The correct Answer is:
A
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  2. The solution of the differential equation (dy)/(dx) - 2y tan 2x = e^(x...

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  3. An integrating factor of the equation (1+y+x^(2)y)dx+(x+x^(3))dy=0 is

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  4. The solution of the differential equation (dy)/(dx) + (y)/(2) sec x = ...

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  5. The differential equation of co-axial system of circles x^(2) + y^(2) ...

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  6. The trajectories orthogonal to x^(2)+y^(2) = 2ax is

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  7. The volume of spherical ballon being inflated changes at a constant ra...

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  8. In a bank, principal increases continuously at the rate of r% per yeat...

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  9. In a bank, principal increases continuously at the rate of 5% per yea...

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  10. In a culture, the bacteria count is 1,00,000. The number is increased ...

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  11. The population of a village increases continuously at the rate proport...

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

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  13. If y = y (x) is the solution of the differential equation ((2 + sin x)...

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  14. (dy)/(dx) +2x tan(x-y) = 1 rArr sin(x-y) =

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  15. Integrating factor of the differential equation (1-x^(2)) (dy)/(dx) + ...

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  16. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

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  17. The solution of (dy)/(dx) + (1)/(x) = (e^(y))/(x^(2)) is

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  18. The differential equation corresponding to the family of circles given...

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  19. The solution of cos^(2) x (dy)/(dx) + y = tan x is

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  20. The differential equation of the simple harmonic motion given by x = A...

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