Find the orthogonal trajectories of the family of curves by

From the family of curves, we find a differential equation the curves all satisfy,

Since we then have,

Therefore, the orthogonal trajectories satisfy the differential equation

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Stumbling Robot

A Fraction of a Dot
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Find the orthogonal trajectories of the family *y*^{2} = Cx

Find the orthogonal trajectories of the family of curves by

From the family of curves, we find a differential equation the curves all satisfy,

Since we then have,

Therefore, the orthogonal trajectories satisfy the differential equation