The flow lines (or streamlines)of a vector field are the paths followed by a particle whose velocity field is the given vector field.Thus,the vectors in a vector field are tangent to the flow lines.The flow lines of the vector field 
satisfy the differential equations 
and 
Solve these differential equations to find the equations of the family of flow lines.
Definitions:
Objectively Measured
Quantified or evaluated based on unbiased observations, data, or criteria, not influenced by personal feelings or opinions.
Association
An organized group of people who share a common interest, purpose, or goal, coming together to implement a wide range of activities.
Causation
The relationship between cause and effect, where one event (the cause) directly results in another event (the effect).
Normative Analysis
An approach in economics that involves value judgments or opinions about what the economy should be like or what particular policy actions should be recommended.
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