- #1
Lee49645
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Homework Statement
y'' + ty' - y = 0
plugging in the known Laplace formuals i get this...
[s^2Y(s) - sy(0) - y'(0)] + [-sY'(s) - Y(s)] - Y(s) = 0
Homework Equations
y(0) = 0
y'(0) = 3
The Attempt at a Solution
simplying to a linear first order DE
-sY'(s) + (s^2-2)Y(s) = 3
Y'(s) + [(s^2-2)/-s]Y(s) = 3
now, according to my textbook "P(x)" = [(s^2-2)/-s], and i need to find the integrating factor by integrating P(x)
use e^(p(x)) then etc.
the problem I am having is how to approach integrating p(x). i tried dividing each term by s and integrating them separately but plugging them into e causes hectic problems.
is there a different way to approach this?