Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

In a bank, principal increases continuously at the rate of 5% per year. In how many years will Rs. 1000 double itself?

Options:

20

20 ln 2

10

2

Correct Answer:

20 ln 2

Explanation:

dP/dt = (5/100) x P

dp/P = dt/20 and the integrate to get :

P = 1000 et/20

put P = 2000 and get :

t = 20 ln 2