HELP
find critical points to a given problem dx/dt = x-y dy/dt = x^2 + y^2 -1
(phase plane analysis chapter DFQ)

Question

HELP 
find critical points to a given problem dx/dt = x-y        dy/dt = x^2 + y^2 -1
(phase plane analysis chapter DFQ)

anonymous · Answer

dy/dx= (x^2+y^2-1) / x- y
dy/dx=0 implies (x^2+y^2-1) / x- y=0

anonymous · Answer

ohh

anonymous · Answer

wait then what do i do?

anonymous · Answer

do i integrate with respect to x?

anonymous · Answer

(x^2+y^2-1) / x- y=0
 (x^2+y^2-1)=0

anonymous · Answer

so the critical point would be 0 ?

anonymous · Answer

have u got any values for x and y

anonymous · Answer

no. im really confused

anonymous · Answer

usually dx/dt  and dy/dt equals to something in 't'. Have u got something like x=2t , y=1+t etc ???...otherwise you cant really go further than that

anonymous · Answer

everything i wrote at top is the only thing that it gave me

anonymous · Answer

ok then...here is the final word

anonymous · Answer

(x^2+y^2-1)=0
y^2=1- x^2
y= +- sqrt(1- x^2) are the critical points

anonymous · Answer

fan me if u liked my try to help u .thanx

anonymous · Answer

how do i fan you?