The other day, I was in a bathroom stall doing my business, and I randomly started humming some song (can't remember exactly what it was). Well it just so happened that I hit the resonant frequency of that stall. Talk about a surprise! I could make a very quite sound with my mouth closed, and...
Homework Statement
A certain population has a growth rate that satisfies the differential equation:
\frac{dy}{dt}=[0.5+Sin(t)]\frac{y}{5}
If y(0)=1 find the time \tau that the population has doubled.
Homework Equations
The Attempt at a Solution
This is a simple separable differential...