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SOLVED: The orthogonal trajectories of the family of curves y = cx^2 2y^2 = k are given by the equation 2x^2 y^2 = k. Another equation for the orthogonal trajectories is x - ky^2 = 0. The equation x = e^ky represents another set of orthogonal trajectories.
SOLVED: The orthogonal trajectories of the family of curves y = cx^2 2y^2 = k are given by the equation 2x^2 y^2 = k. Another equation for the orthogonal trajectories is x - ky^2 = 0. The equation x = e^ky represents another set of orthogonal trajectories.
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