- #1
Applejacks
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Homework Statement
Use Laplace transformations to solve:
Y''+tY'+2Y=0, Y(0)=0, Y'(0)=1
Homework Equations
Y''==>[itex]s^{2}[/itex]y-sY(0)-Y'(0)=[itex]s^{2}[/itex]y-1
tY'==>-(y+sy')
2Y==>2y
The Attempt at a Solution
The question felt pretty straightforward till I hit a rock.[itex]s^{2}[/itex]y-1+y-sy'=0
y'=[itex]\frac{1}{s}[/itex](y([itex]s^{2}[/itex]+1)-1)
My problem is that I can't integrate this because of the -1. What to do? Am I on the right track?
(First time using these forums and symbols so give me a sec to fix them up. Not sure why the S is coming out weird.)
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