The Flow Lines (Or Streamlines)of a Vector Field Are the Paths

question 2

Essay

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.

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Definitions:

Income Effect

How an alteration in the income of an individual or the economy influences the demand level for a particular product or service.

Substitution Effect

The shift in consumption tendencies brought on by changes in the relative value of goods, compelling consumers to opt for an alternative product.

Utility Function

A mathematical representation that ranks alternatives according to their utility for an individual, illustrating preferences over a set of goods and services.

Substitution Effect

The change in consumption that results from a change in the price of one good relative to the prices of other goods, holding utility constant.