Mathematics

Mathematics

Problem

The general solution of the differential equation dydx=1−xy\frac{dy}{dx} = \frac{1-x}{y} is a family of curves which looks most like which of the following? ![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/0772491674614bafad2a54237d9ba36e/935eed7aa61f7777f62cfc032e11bee9_img.jpg) ![](![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/0772491674614bafad2a54237d9ba36e/935eed7aa61f7777f62cfc032e11bee9_img.jpg)) ![](![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/49505f199e194ce381048737ca45893a/30a26f2d17ca95672702bf50fb4f0242_img.jpg)) ![](![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/e495cab99bf94f4d8467d6e39eff1a0e/64662465bba247703fdec49c8f3309f9_img.jpg)) ![](![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/92d3d6769b164a71b48cc35bcedf75dc/5fb340ad68b0c71df0b56698b137e35b_img.jpg)) (A) A region shaded with parallel diagonal lines. ![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/49505f199e194ce381048737ca45893a/30a26f2d17ca95672702bf50fb4f0242_img.jpg) (B) A region shaded with concentric circles. ![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/e495cab99bf94f4d8467d6e39eff1a0e/64662465bba247703fdec49c8f3309f9_img.jpg) (C) A region shaded with parallel wavy lines. ![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/92d3d6769b164a71b48cc35bcedf75dc/5fb340ad68b0c71df0b56698b137e35b_img.jpg) (D) A region shaded with parallel wavy lines.

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