Class 12

Math

Calculus

Differential Equations

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

**Solution: **Solution: $dtdp =1005 P$

$∫_{1000}pdp =∫_{0}20dt $

$ln∣2000∣−ln∣1000∣=20t $

$ln∣2∣=20t $

$t=20ln∣2∣years$