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The population of a certain is known to ...

The population of a certain is known to increase at a rate proportional to the number of people presently living in the country. If after two years the population has doubled, and after three years the population is 20,000 estimates the number of people initially living in the country.

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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. The population of a certain is known to increase at a rate proportiona...

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  2. If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y...

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  3. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

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  4. Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x ...

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  5. Let y(x) be a solution of the differential equation (1+e^x)y^(prime...

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  6. Consider the family of all circles whose centers lie on the straigh...

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  7. The function y=f(x) is the solution of the differential equation [dy]/...

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  8. Let f:[1/2,1]vecR (the set of all real numbers) be a positive, non-con...

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  9. A curve passes through the point (1,(pi)/(6)). Let the slope of the cu...

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  10. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  11. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  12. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  13. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

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  14. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c...

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  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  16. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

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  17. For the following question, choose the correct answer from the codes (...

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  18. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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  19. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

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  20. Let the population of rabbits surviving at a time t be governed by ...

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  21. At present a firm is manufacturing 2000 items. It is estimated that th...

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