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

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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 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. satisfy the differential equations 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. and 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. Solve these differential equations to find the equations of the family of flow lines.


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