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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

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