1. May 11, 2008 #1

   wombat4000

   

   1. The problem statement, all variables and given/known data
   
   http://img178.imageshack.us/img178/6444/scan0001abq4.th.jpg [Broken]
   
   2. Relevant equations
   
   
   
   3. The attempt at a solution
   
   this isnt a straight forward calculate the soltion to a 2nd ode so im pretty stumped.

    

   Last edited by a moderator: May 3, 2017

   wombat4000, May 11, 2008
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3. May 11, 2008 #2

   Defennder

   

   Homework Helper

   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.

    

   Defennder, May 11, 2008
4. May 11, 2008 #3

   wombat4000

   

   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?

    

   wombat4000, May 11, 2008
5. May 11, 2008 #4

   Defennder

   

   Homework Helper

   That should be correct.

    

   Defennder, May 11, 2008
6. May 11, 2008 #5

   wombat4000

   

   thanks!
   http://img237.imageshack.us/img237/3676/167uqnbsi6.gif [Broken]

    

   Last edited by a moderator: May 3, 2017

   wombat4000, May 11, 2008

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