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Obtain the differential equation of the family of plane curves described. Straight lines with slope and x-intercept equal. Straight lines at a fixed distance from

Obtain the differential equation of the family of plane curves described.

Straight lines with slope and x-intercept equal.
Straight lines at a fixed distance from the origin.
Parabolas with vertex on the x-axis, with axis parallel to the y-axis, and with distance from the focus to vertex fixed at .

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