Question

Form the differential equation of the family of curves y^2-2xy+x^2=a^2, a=arbitary const.
I really need to know the answer!!

Answer 1

this is just (x-y)^2 = a^2

the family of curves is just two parallel lines.

that help?

Answer 2

@steve... uhm.. no... its supposed to be a differential equation.... is it ok if we only do one step differential n eliminate a ?

Answer 3

I think this discussion may help. Scroll down some.

http://math.stackexchange.com/questions/163720/find-out-the-differential-equation-of-the-following-families-of-curves