Question 3: Consider the initial value problem y" - 25y = sin(3t), y(0) = -2, y'(0) = -1. a) [6 points] Evaluate L (sin(3t)} using the definition of the Laplace transform. b) [14 points] Use the Laplace transform to solve the given IVP. A▾ BI

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Chapter2: Second-order Linear Odes
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Question 3: Consider the initial value problem
у - 25 у %3D sin(3г), У0) %3D -2,
y (0) = -1.
||
a) [6 points] Evaluate L {sin(3t)} using the definition of the Laplace transform.
b) [14 points] Use the Laplace transform to solve the given IVP.
A-
B
Ff
E
的
!!!
Transcribed Image Text:Question 3: Consider the initial value problem у - 25 у %3D sin(3г), У0) %3D -2, y (0) = -1. || a) [6 points] Evaluate L {sin(3t)} using the definition of the Laplace transform. b) [14 points] Use the Laplace transform to solve the given IVP. A- B Ff E 的 !!!
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