Unformatted text preview: 1
1
2
Ax =
=
41
1
5 • Solutions must follow the arrows. x. Introduction to systems of equations
• Which of the following equations matches the given direction ﬁeld?
(A) (B) (C) (D) x x x x
−1 1
x
=
11
y
1 −1
x
=
11
y
11
x
=
−1 1
y
11
x
=
1 −1
y (E) Explain, please. http://kevinmehall.net/p/equationexplorer/
vectorﬁeld.html#(x+y)i+(xy)j%7C%5B10,10,10,10%5D Introduction to systems of equations
• Which of the following equations matches the given direction ﬁeld?
(A) (B) (C) (D) x x x x
−1 1
x
=
11
y
1 −1
x
=
11
y
11
x
=
−1 1
y
11
x
=
1 −1
y (E) Explain, please. http://kevinmehall.net/p/equationexplorer/
vectorﬁeld.html#(x+y)i+(xy)j%7C%5B10,10,10,10%5D Introduction to systems of equations
• Which of the following equations matches the given direction ﬁeld?
(A) (B) (C) (D) x x x x
−1 1
x
=
11
y
1 −1
x
=
11
y
11
x
=
−1 1
y
11
x
=
1 −1
y (E) Explain, please. Check velocity at
1
.
x=
0 http://kevinmehall.net/p/equationexplorer/
vectorﬁeld.html#(x+y)i+(xy)j%7C%5B10,10,10,10%5D Introduction to systems of equations
• Which of the following equations matches the given direction ﬁeld?
(A) (B) (C) (D) x x x x
−1 1
x
=
11
y
1 −1
x
=
11
y
11
x
=
−1 1
y
11
x
=
1 −1
y (E) Explain, please.
0
Check velocity at x =
.
1 Check velocity at
1
.
x=
0 http://kevinmehall.net/p/equationexplorer/
vectorﬁeld.html#(x+y)i+(xy)j%7C%5B10,10,10,10%5D Introduction to systems of equations
• You should see two
“special” directions.
• What are they?
• Directions along which
the velocity vector is
parallel to the position
vector.
• That is, . Introduction to systems of equations
• You should see two
“special” directions.
• What are they?
...
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This note was uploaded on 02/12/2014 for the course MATH 256 taught by Professor Ericcytrynbaum during the Spring '13 term at UBC.
 Spring '13
 EricCytrynbaum
 Differential Equations, Systems Of Equations, Eigenvectors, Equations, Vectors

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