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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 20,000 in 1999 and 25000 in the year 2004, what will be the population of the village in 2009?

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NCERT GUJARATI-DIFFERENTIAL EQUATIONS-MISCELLANEOUS EXERCISE
  1. For each of the differential equations given below, indicate its order...

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  2. For each of the exercises given below, verify that the given function...

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  3. Form the differential equation representing the family of curves give...

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  4. Prove the x^(2) - y^(2) = c (x^(2) + y^(2))^(2) is the general solutio...

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  5. Form the differential equation of the family of circles in the first q...

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  6. Find the general solution of the differential equation (dy)/(dx) + sqr...

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  7. Show that the general solution of the differential equation (dy)/(dx) ...

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  8. Find the equation of the curve passing through the point (0, (pi)/(4))...

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  9. Find the particular solution of the differential equation (1 + e^(2x)...

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

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  11. Find a particular solution of the differential equation (x - y)(dx + d...

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  12. Solve the differential equation [(e^(-2sqrtx))/(sqrtx) - (y)/(sqrtx)](...

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  13. Find a particular solution of the differential equation (dy)/(dx) + y...

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  14. Find a particular solution of the differential equation (x + 1)(dy)/(d...

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  15. The population of a village increases continuously at the rate propor...

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

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  17. The general solution of a differential equation of the type (dy)/(dx)...

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  18. The general solution of the differential equation e^(x) dy + (y e^(x) ...

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