2nd order diff equations

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  • #1
wombat4000
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  • #2
Defennder
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Firstly, suppose y1 is a solution to y''+ay'+by=g(x). What then is a solution of y''+ay'+by=kg(x), where k is an arbitrary non-zero constant?

Secondly, note that a general solution to a non-homogenous linear ODE is its homogenous solution plus one particular solution to its nonhomogenous ODE.
 
  • #3
wombat4000
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solution to y''+ay'+by=kg(x) is ky1?

so the solution to y''+ay'+by=3g(x) is the complimentyery function + particular integral = 3y1 + y2?
 
  • #4
Defennder
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That should be correct.
 
  • #5
wombat4000
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thanks!
http://img237.imageshack.us/img237/3676/167uqnbsi6.gif [Broken]
 
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