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= In each of Problems 17 through 19, find the Laplace transform Y(s) C{y} of the solution of the given initial value problem. A method of determining the inverse transform is developed in Section 6.3. You may wish to refer to Problems 16 through 18 in Section 6.1. 17. y" +4y= y(0) = 1, y'(0) = 0 18. y" +4y= 1, 0, t, 0≤t< Tπ, π ≤ t < ∞; 0≤t < 1, 1 < t

= In each of Problems 17 through 19, find the Laplace transform Y(s) C{y} of the solution of the given initial value problem. A method of determining the inverse transform is developed in Section 6.3. You may wish to refer to Problems 16 through 18 in Section 6.1. 17. y" +4y= y(0) = 1, y'(0) = 0 18. y" +4y= 1, 0, t, 0≤t< Tπ, π ≤ t < ∞; 0≤t < 1, 1 < t

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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In each of Problems 17 through 19, find the Laplace transform y(s) = L{y} of the solution of the given initial value problem. A method of determining the inverse transform is developed in Section 6.3. You may wish to refer to Problems 16 through 18 in Section 6.1. [1, 0≤t<π, y(0) = = 1, y'(0) = 0 0, π < t < ∞; 0 < t < 1, 1≤t<∞; 17. y" +4y 18. y" + 4y = = t, 1, y(0) = 0, y'(0) = 0
Transcribed Image Text:In each of Problems 17 through 19, find the Laplace transform y(s) = L{y} of the solution of the given initial value problem. A method of determining the inverse transform is developed in Section 6.3. You may wish to refer to Problems 16 through 18 in Section 6.1. [1, 0≤t<π, y(0) = = 1, y'(0) = 0 0, π < t < ∞; 0 < t < 1, 1≤t<∞; 17. y" +4y 18. y" + 4y = = t, 1, y(0) = 0, y'(0) = 0
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