(a) Find the first order DE corresponding to the family of parabolas y = Cx² . (b) Find the equation which describes the family of orthogonal trajectories of these parabolas. (c) Sketch (on the same diagram) at least three representative members of each of these set s of curves.

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A:

Q: The orthogonal trajectories of the family of curves y = cx2 is A x=ky? B x²=ky² © 2x2+y²=k D…

A: Solution

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A: Topic = Geometry

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