00:04
Now here we have a small country, right, which has 10 billion in paper currency and circulation.
00:10
Each day 40 meaning comes into the country banks.
00:13
The government decides to introduce new currency by having the banks replace old bills with new ones, whenever old currency comes into the banks, right? so let x be denoted among new currency in circulation in time t, right, with the initial value being zero.
00:30
So you also formulate a mathematical model, right? so first, the rate of change of the new, the amount of new outcomes, of course, is given by, is increasing, right? because at a rate, which is actually 40 billion, 40 million per day, right? 40 million per day that actually is about 0 .04 billion per day, right? so you get dx over dt equals 0 .04, basically, right? so that would be it...