The differential equation describes the shape of a plane curve C that will reflect all

Chapter 3, Problem 18

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The differential equation describes the shape of a plane curve C that will reflect all incoming light beams to the same point and could be a model for the mirror of a reflecting telescope, a satellite antenna, or a solar collector. See in Exercises 1.3. There are several ways of solving this DE. (a) Verify that the differential equation is homogeneous (see Section 2.5). Show that the substitution y ux yields . u du 11 u2 (1 11 u2 ) dx x d

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