a) Find a first order differential equation satisfied by the circles in this family. Show all work

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a) Find a first order differential equation satisfied by the circles in this family. Show all work justifying your answer.

X ^ (2) + y ^ (2) -2cy = a ^ (2) (circle family with centers on the y axis and that also pass through (a, 0), (-a, 0)

b) What is the differential equation satisfied by the orthogonal trajectories to the family of circles?

Related Book For answer-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Posted Date: Oct 07, 2020 11:49 PM

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a) Find a first order differential equation satisfied by the circles in this family. Show all work

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Applied Linear Algebra

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