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x =v Introduction to systems of equations
• So far, we’ve only dealt with equations with one unknown function.
Sometimes, we’ll be interested in more than one unknown function.
• Examples:
• position of object in one dimensional space in terms of x, v: mx + γ x + kx = 0 → mv + γ v + kx = 0
γ
k
x =v
v =− v− x
m
m
x =v Introduction to systems of equations
• So far, we’ve only dealt with equations with one unknown function.
Sometimes, we’ll be interested in more than one unknown function.
• Examples:
• position of object in one dimensional space in terms of x, v: mx + γ x + kx = 0 → mv + γ v + kx = 0
γ
k
x =v
v =− v− x
m
m
x =v
x = v k
γ
v =− x− v
m
m
Introduction to systems of equations
• So far, we’ve only dealt with equations with one unknown function.
Sometimes, we’ll be interested in more than one unknown function.
• Examples:
• position of object in one dimensional space in terms of x, v: mx + γ x + kx = 0 → mv + γ v + kx = 0
γ
k
x =v
v =− v− x
m
m
x =v
x = v k
γ
v =− x− v
m
m
0
x
=
k
v
−m
1
x
γ
v
−m Introduction to systems of equations
• So far, we’ve only dealt with equations with one unknown function.
Sometimes, we’ll be interested in more than one unknown function.
• Examples:
• position of object in one dimensional space in terms of x, v. Introduction to systems of equations
• So far, we’ve only dealt with equations with one unknown function.
Sometimes, we’ll be interested in more than one unknown function.
• Examples:
• position of object in one dimensional space in terms of x, v.
• position of an object in a plane (x, y coordinates) or three
dimensional space (x, y, z coordinates). Introduction to systems of equations
• So far, we’ve only dealt with equations with one unknown function.
Sometimes, we’ll be interested in more than one u...
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 Spring '13
 EricCytrynbaum
 Differential Equations, Systems Of Equations, Eigenvectors, Equations, Vectors

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