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

question 106

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:

Insulin

A hormone produced by the pancreas that regulates the amount of glucose in the blood, essential for people with diabetes.

Afford

The ability to bear the cost of or financially manage something.

ADH Deficiency

A condition where there is inadequate secretion of antidiuretic hormone (ADH), leading to diabetes insipidus characterised by excessive thirst and excretion of large amounts of severely dilute urine.

Water Metabolism

The process by which the body balances water intake with water loss to maintain health and proper physiological functions.