Initial value problem of ord diff eq

  • Thread starter Grothard
  • Start date
  • #1
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Homework Statement



3y'' -y' + (x+1)y = 1
y(0) = y'(0) = 0


Homework Equations



Not sure, that's the issue


The Attempt at a Solution



I can't quite get this one using the methods I'm familiar with, and I can't guess a particular solution to neither the equation nor the homogenous version thereof. Do I have to use the power series method?
 

Answers and Replies

  • #2
LCKurtz
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Homework Statement



3y'' -y' + (x+1)y = 1
y(0) = y'(0) = 0

I can't quite get this one using the methods I'm familiar with, and I can't guess a particular solution to neither the equation nor the homogenous version thereof. Do I have to use the power series method?
Yes, I would expect that.
 
  • #3
lurflurf
Homework Helper
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Use series or change variables to reduce it to the Airy equation.
 

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