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Express the following physical statements in the form of differential equation. The population P of a city increases at a rate proportional to the product of population and to the difference - Mathematics

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प्रश्न

Express the following physical statements in the form of differential equation.

The population P of a city increases at a rate proportional to the product of population and to the difference between 5,00,000 and the population

योग

उत्तर

The rate of change of population increases with respect to time t, is `"d"/"dt"` and the rate of population is proportional to the product of population is `"dP"/"dt"` = kP and the also the difference between 5,00,000 and the population is `"dP"/"dt"` = kP(5,00,000 – P) is required differential equation.

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Classification of Differential Equations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Ordinary Differential Equations - Exercise 10.2 [पृष्ठ १५१]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 10 Ordinary Differential Equations
Exercise 10.2 | Q 1. (ii) | पृष्ठ १५१
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