(b) Consider the following IVP with nonconstant coefficient: ty" (t) − ty' (t) + y(t) = 2, y(0) = 2, y'(0) = −4. Using the Laplace transform (or any other method), find the solution.

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Chapter2: Second-order Linear Odes
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help me with part b please

4.
(a)
(b)
Consider the following IVP with impulsive forcing:
y"
y″ (t) + 2025y' (t) + 2024y(t) = 2023 [8 (t − = ½) + 8 (+ − ³)],
-
y'(0) = y(0) = 0.
Find the value of the solution at time t = 1.
Consider the following IVP with nonconstant coefficient:
ty" (t) − ty' (t) + y(t) = 2, y(0)
=
2, y'(0) = −4.
Using the Laplace transform (or any other method), find the solution.
Transcribed Image Text:4. (a) (b) Consider the following IVP with impulsive forcing: y" y″ (t) + 2025y' (t) + 2024y(t) = 2023 [8 (t − = ½) + 8 (+ − ³)], - y'(0) = y(0) = 0. Find the value of the solution at time t = 1. Consider the following IVP with nonconstant coefficient: ty" (t) − ty' (t) + y(t) = 2, y(0) = 2, y'(0) = −4. Using the Laplace transform (or any other method), find the solution.
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