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)

Answer 1

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

Answer 2

ohh

Answer 3

wait then what do i do?

Answer 4

do i integrate with respect to x?

Answer 5

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

Answer 6

so the critical point would be 0 ?

Answer 7

have u got any values for x and y

Answer 8

no. im really confused

Answer 9

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

Answer 10

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

Answer 11

ok then...here is the final word

Answer 12

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

Answer 13

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

Answer 14

how do i fan you?