- #1

MatinSAR

- 524

- 174

- Homework Statement
- Find the differential equation of a family of straight lines that are tangent to the circle x^2+y^2=c^2?

- Relevant Equations
- Circle equation , mm'=-1,y-y1=m(x-x1)

Hi ... I have written the equation of family of straight lines which are tangent to the circle as :

y=(-m/n)x+(m^2/n)+n

line intersects circle at : (m,n)

But I can't understand how to find differential equation of this ...

I will be appreciated if anyone has extra time to give me a little guidance on this question.

y=(-m/n)x+(m^2/n)+n

line intersects circle at : (m,n)

But I can't understand how to find differential equation of this ...

I will be appreciated if anyone has extra time to give me a little guidance on this question.