3. Solution of I.V.P. for harmonic oscillator with driving force is given by Inverse Laplace transform (25 Puan) y" + w? y = sin yt, y (0) = 0, y' (0) = 0 O y() = L-' () O y(1) = L-' () O y (1) = L- O y(m) = L-" (, )

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Chapter2: Second-order Linear Odes
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3. Solution of I.V.P. for harmonic oscillator with driving force is given by Inverse Laplace transform
(25 Puan)
y" + w? y = sin yt, y(0) = 0, y' (0) = 0
y (1) = L-I
( +u)
O y() = L-' ()
(),
2 + 2
у ()
L-
O y() = L-" ( . )
(s2 + y²) (s² + ar²)
Transcribed Image Text:3. Solution of I.V.P. for harmonic oscillator with driving force is given by Inverse Laplace transform (25 Puan) y" + w? y = sin yt, y(0) = 0, y' (0) = 0 y (1) = L-I ( +u) O y() = L-' () (), 2 + 2 у () L- O y() = L-" ( . ) (s2 + y²) (s² + ar²)
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