Find the orthogonal trajectories of the family of curves given by

First, this family of curves satisfies the differential equation

Since we then have

Hence, 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 for the family *y = Ce*^{-2x}

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Find the orthogonal trajectories of the family of curves given by

First, this family of curves satisfies the differential equation

Since we then have

Hence, the orthogonal trajectories satisfy the differential equation

Y=Ce^x^2