4. Let the initial value problem y" +4y 2t, y(0) = (0) = 0 %3D %3D be given, and let Cly(t)] = F(s). %3D a) Find F(s) by applying the Laplace transform to the both sides of the given differential equat b) Find L-(F(s)].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let the initial value problem
y" + 4y = 2t, y(0) = (0) = 0
be given, and let Lly(t)] = F(s).
a) Find F(s) by applying the Laplace transform to the both sides of the given differential equation.
b) Find L-[F(s)].
Transcribed Image Text:Let the initial value problem y" + 4y = 2t, y(0) = (0) = 0 be given, and let Lly(t)] = F(s). a) Find F(s) by applying the Laplace transform to the both sides of the given differential equation. b) Find L-[F(s)].
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