A biomedical company finds that a certain bacteria used for crop insect control will grow exponentially at the rate of 12% per hour. Starting with 1000 bacteria, how many will they have after 10h?
Topic is application of differential equations.
The Attempt at a Solution
This question is from the topic on application of differential equations.
I stumbled on the solution but i need to understand why it works and whether it is the correct method.
at T=0, y=1000, dy/dt=0
from here i just substitute in t=10 to get answer.
question is why exponential growth in this case uses base e and not other base? why does it work when C is initial value?
also is this the correct method when using differential equations to solve this problem? don't want the working to be affected just cause I know the formula is y=Ce^kt