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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    dy/dx= (x^2+y^2-1) / x- y dy/dx=0 implies (x^2+y^2-1) / x- y=0

  2. anonymous
    • 5 years ago
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    ohh

  3. anonymous
    • 5 years ago
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    wait then what do i do?

  4. anonymous
    • 5 years ago
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    do i integrate with respect to x?

  5. anonymous
    • 5 years ago
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    (x^2+y^2-1) / x- y=0 (x^2+y^2-1)=0

  6. anonymous
    • 5 years ago
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    so the critical point would be 0 ?

  7. anonymous
    • 5 years ago
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    have u got any values for x and y

  8. anonymous
    • 5 years ago
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    no. im really confused

  9. anonymous
    • 5 years ago
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    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

  10. anonymous
    • 5 years ago
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    everything i wrote at top is the only thing that it gave me

  11. anonymous
    • 5 years ago
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    ok then...here is the final word

  12. anonymous
    • 5 years ago
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    (x^2+y^2-1)=0 y^2=1- x^2 y= +- sqrt(1- x^2) are the critical points

  13. anonymous
    • 5 years ago
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    fan me if u liked my try to help u .thanx

  14. anonymous
    • 5 years ago
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    how do i fan you?

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spraguer (Moderator)
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