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Problem #2: Let y(t) be the continuously differentiable solution of the initial-value problem y"(1) + 9y(t) = g(t), y(0) = 0, y'(0) = 0, where Ş 2+9² 1 9(4t – 4) t > 2 0 2.

Problem #2: Let y(t) be the continuously differentiable solution of the initial-value problem y"(1) + 9y(t) = g(t), y(0) = 0, y'(0) = 0, where Ş 2+9² 1 9(4t – 4) t > 2 0 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem #2: Let y(1) be the continuously differentiable solution of the initial-value problem y"(f) + 9y(t) g(t), y(0) = 0, y'(0) = 0, where S 2+ 9r² 1 9(4t – 4) t > 2 0 <t< 2 g(t) (a) Find Y(s), the Laplace transform of y(t). (b) Compute y(t) for 0 < t < 2. (c) Compute v(t) for t > 2. Enter your answer as a symbolic function of s, as in these examples Problem #2(a): Enter your answer as a symbolic function of t, as in these examples Problem #2(b): Enter your answer as a Problem #2(c): symbolic function of t, as in these examples
Transcribed Image Text:Problem #2: Let y(1) be the continuously differentiable solution of the initial-value problem y"(f) + 9y(t) g(t), y(0) = 0, y'(0) = 0, where S 2+ 9r² 1 9(4t – 4) t > 2 0 <t< 2 g(t) (a) Find Y(s), the Laplace transform of y(t). (b) Compute y(t) for 0 < t < 2. (c) Compute v(t) for t > 2. Enter your answer as a symbolic function of s, as in these examples Problem #2(a): Enter your answer as a symbolic function of t, as in these examples Problem #2(b): Enter your answer as a Problem #2(c): symbolic function of t, as in these examples
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