- #1
intenzxboi
- 98
- 0
The set of orthogonal trajectories for the family indicated by
( x-c)^2 + y^2 = c^2
My work:
y' = -(x-c)/y Since c= ( x^2 + y^2 ) / 2x
plugging back in and doing -1/y' i got
y' = 2xy / ( x^2 - y^2)
Then I am supposed to move the x and y to a side and integrate but i don't see how it is possible.
( x-c)^2 + y^2 = c^2
My work:
y' = -(x-c)/y Since c= ( x^2 + y^2 ) / 2x
plugging back in and doing -1/y' i got
y' = 2xy / ( x^2 - y^2)
Then I am supposed to move the x and y to a side and integrate but i don't see how it is possible.