Let F (x, y)=(x + y)i + (4x + y)j .(a) Show that r (t)=(ae3t + bet)i + (2ae3t 2bet)j
Chapter 17, Problem 61(choose chapter or problem)
Let F (x, y)=(x + y)i + (4x + y)j .(a) Show that r (t)=(ae3t + bet)i + (2ae3t 2bet)j , for constant a, b, is a flow line for F .(b) Find the flow line passing through (1, 2) at t = 0and describe its behavior as t . Do the samefor the points (1, 1.99) and (1, 2.01). Comparethe behavior of the three flow lines.
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