Step 1: Understanding the Concept
A secondary amine has two carbon groups on the nitrogen atom and one N-H bond.
Step 2: Check the options
2-Aminobutane and 1-amino-2-methylpropane are primary amines with an \(-\text{NH}_{2}\) group.
N,N-Dimethylethanamine has three alkyl groups and is tertiary.
Step 3: Match
N-ethylethanamine is \(\text{CH}_{3}\text{CH}_{2}\text{NHCH}_{2}\text{CH}_{3}\), which is secondary with formula \(\text{C}_{4}\text{H}_{11}\text{N}\). Option (D).
Final Answer:
N-ethylethanamine is the secondary amine.
\[ \boxed{\text{(D) }\text{N-ethylethanamine}} \]