Question: Solve The Differential Equation dy -x+ ( x + describes the shape of a plane dx curve C that will reflect all incoming light beams

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The Differential Equation dy -x+ ( x + describes the shape of a plane dx 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. i. Verify that the DE is homogeneous. Show that the substitution udu dx y = ux yields VI+ u2 (1- VItu X ii. Show that the given DE can also be solved by means of the substitutionu = x3 + y

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