Let F (x, y) = y(1 y2)i + x(1 y2)j .(a) Show that r F = 0. What does this tell you
Chapter 17, Problem 60(choose chapter or problem)
Let F (x, y) = y(1 y2)i + x(1 y2)j .(a) Show that r F = 0. What does this tell you aboutthe shape of the flow lines?(b) Show that r (t) = cos ti + sin tj has velocity vectorparallel to F at every point, but is not a flow line.(c) Show r (t) = (1/(1 + t2))i + (t/(1 + t2))jis a flow line for F . What is the difference betweenthis curve and the one in part (b)?
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