1 Consider the system u’= Au with A= -1 1 1 a) Find the general solution of the system u’= Au. b) Sketch a phase diagram for the system u' = Au. 3e' cos(t) c) Now let f = Solve the system u'= Au+f. Use variation of parameters. 3e' sin(t) (Please continue your work on an extra sheet of paper if you need to.)

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Author:Robert L. Boylestad
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Consider the system u’= Au with A=
-1
1
a) Find the general solution of the system u'= Au.
b) Sketch a phase diagram for the system u' = Au.
3 e' cos(t)
c) Now let f =
Solve the system u'= Au+f. Use variation of parameters.
3e' sin(t).
(Please continue your work on an extra sheet of paper if you need to.)
Transcribed Image Text:Consider the system u’= Au with A= -1 1 a) Find the general solution of the system u'= Au. b) Sketch a phase diagram for the system u' = Au. 3 e' cos(t) c) Now let f = Solve the system u'= Au+f. Use variation of parameters. 3e' sin(t). (Please continue your work on an extra sheet of paper if you need to.)
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