# Family of Curves

## Family of Plane Curves

Submitted by Madisson on June 17, 2018 - 5:55pm

Find the differential equation of parabolas with vertex and focus on the x-axis.

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## Families of Curves: family of circles with center on the line y= -x and passing through the origin

Submitted by danedison on September 12, 2017 - 9:10pm

**Find the diff equation of family of circles with center on the line y= -x and passing through the origin.**

THANK YOU :)

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## Find the differential equations of the following family of curves.

Submitted by Bingo on July 8, 2017 - 5:29pm

Differential Equations

Find the differential equations of the following family of curves.

1. Parabolas with axis parallel to the y – axis with distance vertex to focus fixed as a.

2. Parabolas with axis parallel to the x – axis with distance vertex to focus fixed as a.

3. All ellipses with center at the origin and axes on the coordinate axes.

4. Family of cardioids.

5. Family of 3 – leaf roses.

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