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Ime the given second order equation as its equivalent system of first order equations. u" + 5u' + 7u = 0 Use v to represent the "velocity function", i.e. v = u'(t). Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u' = Now write the system using matrices: u %3D dt

Ime the given second order equation as its equivalent system of first order equations. u" + 5u' + 7u = 0 Use v to represent the "velocity function", i.e. v = u'(t). Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u' = Now write the system using matrices: u %3D dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 9E
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Write the given second order equation as its equivalent system of first order equations. u" + 5u' + 7u = 0 Use v to represent the "velocity function", i.e. v = Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u'(t). u' = Now write the system using matrices: u d dt V
Transcribed Image Text:Write the given second order equation as its equivalent system of first order equations. u" + 5u' + 7u = 0 Use v to represent the "velocity function", i.e. v = Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u'(t). u' = Now write the system using matrices: u d dt V
Find the solution to y - x+t y' = y %3D if x(0) = 5 and y(0) = 4. x(t) = help (formulas) y(t) = help (formulas)
Transcribed Image Text:Find the solution to y - x+t y' = y %3D if x(0) = 5 and y(0) = 4. x(t) = help (formulas) y(t) = help (formulas)
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