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

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.
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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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