Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 21 of Exercise 9.4

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21

In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs 1000 is deposited with this bank, how much will it worth after 10 years (e0.5 = 1.648).

Let p and t be principal and time respectively.

Given that principal increases continuously at rate of 5% per year.



Separating variables,



Integrating both sides,




When t = 0, p = 1000



At t = 10






So after 10 years the total amount would be Rs.1648


21

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