# Find the differential equation of the family of curves #color(white)(.)x^2+y^2+2ax+2by+c=0#,where #a,b,c# are parameters?

##### 2 Answers

#### Explanation:

Differentiating

or

or

i.e.

or

#### Explanation:

Taking 1st, 2nd, 3rd derivatives:

1st:

2nd:

3rd:

#square * y_(x x x) - triangle * y_(x x)# to eliminate remaining#b# reference