Here's the question: A bacteria culture starts with 820 bacteria and grows at a rate proportional to its size. After 3 hours there will be 2460 bacteria. (a) Express the population after t hours as a function of t. I tried y=y'+820, so -y'+y=820 p(t)=1 mu(t)=e^t I carried this out (multiplying both sides by mu(t) and finding the integral of both sides) and it's not right. I really don't even know where to start - is finding mu(t) even the right approach? Thanks a lot.