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categoryرياضيات schoolبكالوريوس event_available2026-07-14

السؤال

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9.(10 pts) Let v be the vector field v = xi - yj. a.(5 pts) Use the definition of a flow line to find the system of differential equations associated with the vector field v. b.(5 pts) Show that every flow line of the vector field v lies on a level curve of the function f(x, y) = xy.

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