Plotting differential equation solutions with initial conditions in Mathematica

[*best&sweetest*]

I have just bought student edition of Mathematica and I have no idea how to so some basic stuff. Could anybody please tell me how to "sketch several typical solutions of the given differential equation and highlight the one that satisfies the initial condition" using Mathematica? I have tried looking at Wolfram website but couldn't find clear explanation.
Could you please give me some example of the code for any differential equation and any initial condition you want.
Technology is so not my thing.
Thanks!

 

[FredGarvin]

Why don't you start learning how to use the software? It's a pretty straightforward program once you learn the basics.

Take a look here for plenty of examples.
http://www.me.rochester.edu/courses/ME201/webexamp/exam.html