Find the orthogonal trajectories of the family of parabolas x = cy² and sketch their graph.

The given family of parabolas is \( x = c y^2 \). Differentiating both sides with respect to \( x \),  

\[
\frac{dx}{dx} ________ ________ ____ ____ ____ ________ ___ _____ __________ _________ ____.
_____ ___ _________ ____ ____ _________ __________ ___ ___ __________.
_______ ____ ____ ___ _____ _____ _______ ______ __________ ___ ________ __________.
______ _________ ______ ______ ______ __________ _________ _______ ___ ______ ________ ____.
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__________ _____ ___ __________ _______ _________ _______.
_________ _______ ____ ___ _________ _____ ________ ______ _____.
___ ________ ____ _________ ______ ____ __________.
_________ __________ ___ __________ ____ ______ ____ ______.
_________ _________ _________ _____ ________ ___ ____ ______ _______ __________.
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