Obtain the differential equations of the family of plane curves described as: (a) straight lines through...
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Obtain the differential equations of the family of plane curves described as: (a) straight lines through the origin; (b) circles with center on the paxis; (c) circles with fixed radius r, tangent to the r-axis; (d) parabolas with axis parallel to the r-axis with distance from vertex to focus fixed as a; and (e) cubies cy= #(r - a) with a held fixed. Obtain the differential equations of the family of plane curves described as: (a) straight lines through the origin; (b) circles with center on the paxis; (c) circles with fixed radius r, tangent to the r-axis; (d) parabolas with axis parallel to the r-axis with distance from vertex to focus fixed as a; and (e) cubies cy= #(r - a) with a held fixed.
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