Lecture 9 Notes

# Ax gives the velocity vector of the object located at

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Unformatted text preview: es (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 • Solutions must follow the arrows. 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 • Solutions must follow the arrows. 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 • Solutions must follow the arrows. 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 • Solutions must follow the arrows. 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 ￿ ￿￿ ￿ ￿ ￿ 1...
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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 The University of British Columbia.

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