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Variation of parameters- 2nd order linear equation

  • Thread starter hahaha158
  • Start date
  • #1
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Homework Statement


solve 4y''-4y'+y=16et/2


Homework Equations



v1= -∫ y2g/w
v2= ∫ y1g/w

The Attempt at a Solution



http://imgur.com/gxXlfdH

the correct answer is 2t^2 e^(t/2) instead of what i have though, i am not sure what i am doing wrong?
 

Answers and Replies

  • #2
pasmith
Homework Helper
1,745
419

Homework Statement


solve 4y''-4y'+y=16et/2


Homework Equations



v1= -∫ y2g/w
v2= ∫ y1g/w

The Attempt at a Solution



http://imgur.com/gxXlfdH

the correct answer is 2t^2 e^(t/2) instead of what i have though, i am not sure what i am doing wrong?
You need to divide by the coefficient of [itex]y''[/itex] before you start:
[tex]
y'' - y' + \frac14 y = 4e^{t/2} \equiv g(t).
[/tex]
 

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