Unformatted text preview: Ax
• Think of the unknown functions as coordinates (x(t), y (t)) of an
object in the plane.
• Ax gives the velocity vector of the object located at
2
x=
1 x. Introduction to systems of equations
• Geometric interpretation  direction ﬁelds.
dx
11
x
=
41
y
dt y or x = Ax
• Think of the unknown functions as coordinates (x(t), y (t)) of an
object in the plane.
• Ax gives the velocity vector of the object located at
2
x=
1
11
2
3
Ax =
=
41
1
9 x. Introduction to systems of equations
• Geometric interpretation  direction ﬁelds.
dx
11
x
=
41
y
dt y or x = Ax
• Think of the unknown functions as coordinates (x(t), y (t)) of an
object in the plane.
• Ax gives the velocity vector of the object located at
2
x=
1
11
2
3
Ax =
=
41
1
9 x. Introduction to systems of equations
• Geometric interpretation  direction ﬁelds.
dx
11
x
=
41
y
dt y or x = Ax
• Think of the unknown functions as coordinates (x(t), y (t)) of an
object in the plane.
• Ax gives the velocity vector of the object located at
1
x=
1 x. Introduction to systems of equations
• Geometric interpretation  direction ﬁelds.
dx
11
x
=
41
y
dt y or x = Ax
• Think of the unknown functions as coordinates (x(t), y (t)) of an
object in the plane.
• Ax gives the velocity vector of the object located at
1
x=
1
11
1
2
Ax =
=
41
1
5 x. Introduction to systems of equations
• Geometric interpretation  direction ﬁelds.
dx
11
x
=
41
y
dt y or x = Ax
• Think of the unknown functions as coordinates (x(t), y (t)) of an
object in the plane.
• Ax gives the velocity vector of the object located at
1
x=
1
11
1
2
Ax =
=
41
1
5 x. Introduction to systems of equations
• Geometric interpretation  direction ﬁelds.
dx
11
x
=
41
y
dt y or x = Ax
• Think of the unknown functions as coordinat...
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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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