spacejunkie
New member
- Joined
- Sep 1, 2006
- Messages
- 15
dy/dx=sqrt(x-y) Initial value: y(2)=2
I say solutions exist because
lim (x,y) approach (2,2) sqrt(x-y)=0 thus existence
My book says, "Neither existence nor uniqueness is guaranteed in any neighborhood of x=2."
I think I understand why uniqueness is not guaranteed but why not existence? Thank you for your help.
I say solutions exist because
lim (x,y) approach (2,2) sqrt(x-y)=0 thus existence
My book says, "Neither existence nor uniqueness is guaranteed in any neighborhood of x=2."
I think I understand why uniqueness is not guaranteed but why not existence? Thank you for your help.