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

Explanation

To solve the problem of how long it takes for Rs 1000 to double at a continuous interest rate of 5% per year, we can use the concept of differential equations. Let's go through the steps:

### Step 1: Understand the Rate of Change
The principal amount increases continuously at a rate of 5% per year. This can be expressed mathematically as:
\[ \frac{dp}{dt} = 0.05p \]
where \( p \) is the principal amount.
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