I have a pretty hard differential equation here:
In the nuclear medicine department of a hospital, a radioactive isotope is being produced. The isotope is produced at the rate of 5 milligrams per minute, but has a half-life of only 20 minutes. Write differential equations to find the amount of the isotope present after an hour of production.
Now this one's a bit wierd...
I'm fine with an 'initial amount' problem but when there is a constant production, well it's a bit hard.
What I think to put is
dM/dt = 5-how much is lost (0.5M/20?????)
But I can't really work with that... can someone please help me?