Solution: (a) Sketch the vector field and then sketch some flow lines. What shape do

Chapter 16, Problem 36

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(a) Sketch the vector field and then sketch some flow lines. What shape do these flow lines appear to have? (b) If parametric equations of the flow lines are , what differential equations do these functions satisfy? Deduce that . (c) If a particle starts at the origin in the velocity field given by F, find an equation of the path it follows.

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