Find Y(s).6Y(s) =(s+ 1)(s² – 2s + 2) s2 – 2s + 216Y(s) :(s + 1)(s² – 2s + 2) ' s² – 2s + 26Y(s) =(s+ 1) (s² – 2s + 2)6Y(s) :s +12 – 2s + 26Y(s) :+s +1' s2 – 2s + 2 Solve the initial value problem.y" – 2y + 2y = et; y(0) = 0, y (0) = 6

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Solve the initial value problem. y" – 2y + 2y = et; y(0) = 0, y (0) = 6

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.2: Linear First-order Differential Equations

Problem 2YT: YOUR TURN Solve the initial value problem dydx+2xyxex2=0 with y(0)=3.

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Question

Find Y(s).
6
Y(s) =
(s+ 1)(s² – 2s + 2) s2 – 2s + 2
1
6
Y(s) :
(s + 1)(s² – 2s + 2) ' s² – 2s + 2
6
Y(s) =
(s+ 1) (s² – 2s + 2)
6
Y(s) :
s +1
2 – 2s + 2
6
Y(s) :
+
s +1' s2 – 2s + 2

Solve the initial value problem.
y" – 2y + 2y = et; y(0) = 0, y (0) = 6

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