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Five mice in a stable population of 50...

Five mice in a stable population of 500 are intentionally infected with a contagious disease to test a theory of epidemic spred that postulates the rate of change in the infected population is proportional to the product of the number of mice who have the disease with the number that are disease free. Assuming the theory is correct, how long will it take half the popullation to contract the disease?

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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Five mice in a stable population of 500 are intentionally infected w...

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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)rarrR be a differentiable function such that f'(x)=2-(f(...

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

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  6. Let y(x) be a solution of the differential equation (1+e^(x))y'+ye^(x)...

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  7. Solve the differential equation : y sqrt(1-x^2)dy-sqrt(1+y^2)dx=0

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

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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 be a function. Suppose the function f is twice differ...

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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. Consider the statements : P : There exists some x IR such that f(x)...

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  14. Differentiate the following w.r.t x (log x)^(cos x)

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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: R to R be a continuous function which satisfies f(x)= int0^xf(...

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  17. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

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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 t...

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  21. At present, a firm is manufacturing 2000 items. It is estimated tha...

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