- #1
ttsky
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This is more of a pre calc question but it dose however come from diff eqs, just in case I have made fundamental mistakes, i have posted it here. I have been studying this topic for few days by myself, never had any problems with algebra until here.
really appreciate all of your help.
problem comes from here.
[itex]y''-2y'-2y=0[/itex] with initial conditions [itex]y(0) = 2 , y'(0) = 0[/itex]
I am stuck trying to decompose this line
[itex]\mathcal Y(s) = (2s+4)/(s^2-2s-2)[/itex]
Laplace Transforms Tables
[itex]y''-2y'-2y=0[/itex]
[itex]s^2\mathcal Y(s) - 2s - 2s\mathcal Y(s) -4 -2\mathcal Y(s) = 0[/itex]
[itex](s^2-2s-2)\mathcal Y(s) -2s-4=0[/itex]
[itex]\mathcal Y(s) = (2s+4)/(s^2-2s-2)[/itex]
and stuck here.. I can't figure out how to decompose last line.
really appreciate all of your help.
Homework Statement
problem comes from here.
[itex]y''-2y'-2y=0[/itex] with initial conditions [itex]y(0) = 2 , y'(0) = 0[/itex]
I am stuck trying to decompose this line
[itex]\mathcal Y(s) = (2s+4)/(s^2-2s-2)[/itex]
Homework Equations
Laplace Transforms Tables
The Attempt at a Solution
[itex]y''-2y'-2y=0[/itex]
[itex]s^2\mathcal Y(s) - 2s - 2s\mathcal Y(s) -4 -2\mathcal Y(s) = 0[/itex]
[itex](s^2-2s-2)\mathcal Y(s) -2s-4=0[/itex]
[itex]\mathcal Y(s) = (2s+4)/(s^2-2s-2)[/itex]
and stuck here.. I can't figure out how to decompose last line.