Consider the family of curves x2 + 3y2 = 2cy. (1.12.5)(a) Show that the differential

Chapter 1, Problem 7

(choose chapter or problem)

Consider the family of curves x2 + 3y2 = 2cy. (1.12.5)(a) Show that the differential equation of this familyisdydx = 2x yx2 3y2 .(b) Determine the orthogonal trajectories to thefamily (1.12.5).

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