To put it very blunt and simple.
Safe
By "safe code" you teacher probably means managed code. That is code where you don't have to "care" about pointers and memory, you have a garbagecollector that takes care of this for your. You are dealing with refrences. Examples of languages built like this is java and c#. Code is compiled to a "fictional" opcodes(intermediate language, IL for C#), and compiles and run realtime(JIT, just in time compilation). The IL generated code, will have to be converted to real native platform based opcodes, in java this is one of things the jvm does. You may easily disassemble code from languages like these. And they may run on several platforms without a recompilation.
Unsafe
By "unsafe code" the teacher means ordinary native c++ unmanaged code, where all memory and resource management is handled by you. This makes room for human error, and memory leaks, resource leaks and other memory errors, you don't usually deal with in managed languages. It also compiles to pure bytecode (native assembly opcodes), which means that you have to compile your code for each platform you intend to target. You will encounter that you will have to make a lot of code specific for each platform, depending on what you are going to code. It's nice to see that simple things such as threading, which where platform dependent, now is a part of the c++ standard.
Then you have c++/CLI, which basicly is a mix. You may use managed code from the .net framework in c++, and it may be used as a bridge, and be used to make wrappers.
Console::WriteLine()
is managed .net code, safe.
cout
is standard iso c++ from <iostream>
, unsafe
You find a related post here, with a broader answer here and here :)
Edit
As pointed out by Deduplicator below this is also of interest for you
Hope it helps.
Cheers