Couple differential equations

Hey guys, Ive been doing some Diffy Q work and I have a few problems I am stuck with. I figured id post up some of the ones Im stuck on and hopefully someone can help. Im having a hard time understanding what is going on with these problems and what they actually mean in words.

1.

In the problem above a one-paremeter family of solutions of the DE is given. Does any solution curve pass through the point (0,3)? Through the point (0,1)?

2. Newton's Law of Cooling/Warming

A cup of coffee cools according to Newton's Law of cooling

Use date from the graph of the temperature T(t) to estimate the constants Tm, and T0(T naught), and K in a model of the form of a first-order initial-value problem:

http://i909.photobucket.com/albums/a...andWarming.jpg

Thank you for you help. Im just lost at the terminology of differential equations and what exactly what im trying to be able to understand. Any help is appreciated.