Differential Equations 3 Question 8

8. A spherical rain drop evaporates at a rate proportional to its surface area at any instant t. The differential equation giving the rate of change of the rains of the rain drop is

(1997C, 2M)

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Answer:

Correct Answer: 8. drdt=λ

Solution:

  1. Since, rate of change of volume surface area

dVdtSA4πr2drdt=λ4πr2

drdt=λ is required differential equation.



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