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posted by  *Bre-ster on 11/25/2008 2:20:41 AM  |  status: Closed  

System of First Order Linear Equation

Course Textbook Chapter Problem
Differential Equations N/A N/A N/A
Question Details:
Transform given equation into a system of first order equations.
 
u'' + 2.5 u' + 11u = 6sint

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posted by Bernard on 11/25/2008 8:29:42 AM  |  status: Live
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Response Details:
Introduce a new variable v such that v=u'.
Differentiation yields v'=u''=-2.5u'-11u+6sin(t)=-2.5v-11u+6sin(t).
We find the system
u'=v and v'=-2.5v-11u+6sin(t).
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