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y" + 4y = 1, 0≤t

y" + 4y = 1, 0≤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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ctions in this chapter are numerous initial- equations with constant coefficients. Many systems, but usually we do not point this m to solve Jol}s y'(0) = 1 e transform 10. y" - 2y + 2y = 0; y(0) = 0, 11. y" - 2y + 4y = 0; y(0) = 2, y'(0) = 0 mobne 12. y" +2y + 5y = 0; y(0) = 2, y'(0) = -1 13. y(4) - 4y"" + 6y" - 4y' + y = 0; y(0) = 0, y'(0) = 1, y"(0) = 0, y""(0) = 1 3 (Walk 14. y(4) - y = 0; y(0) = 1, y'(0) = 0, y'(0) = 1, y"(0) = 0 10 of suspigol al .. 15. y"+w²y = cos(2t), w² #4; y(0) = 1, y'(0) = 0 dib est; 16. y" - 2y' + 2y = e¹; y(0) = 0, y'(0) = 1 1, {1 17. y + 4y = 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. 985 al Camaldol sosis. J 13 19. y"+y=2-t, 0, 0≤t< T, π ≤ t < ∞0; 0 ≤ t < 1, y" 18. y² + 4y = {1, 151 < 00: t, 0 ≤ t < 1, 1≤t <2, 2 ≤ t < ∞0; 2010 y(0) = 1, y'(0) = 0 y(0) = 0, y'(0) = 0 y(0) = 0, y'(0) = 0
Transcribed Image Text:ctions in this chapter are numerous initial- equations with constant coefficients. Many systems, but usually we do not point this m to solve Jol}s y'(0) = 1 e transform 10. y" - 2y + 2y = 0; y(0) = 0, 11. y" - 2y + 4y = 0; y(0) = 2, y'(0) = 0 mobne 12. y" +2y + 5y = 0; y(0) = 2, y'(0) = -1 13. y(4) - 4y"" + 6y" - 4y' + y = 0; y(0) = 0, y'(0) = 1, y"(0) = 0, y""(0) = 1 3 (Walk 14. y(4) - y = 0; y(0) = 1, y'(0) = 0, y'(0) = 1, y"(0) = 0 10 of suspigol al .. 15. y"+w²y = cos(2t), w² #4; y(0) = 1, y'(0) = 0 dib est; 16. y" - 2y' + 2y = e¹; y(0) = 0, y'(0) = 1 1, {1 17. y + 4y = 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. 985 al Camaldol sosis. J 13 19. y"+y=2-t, 0, 0≤t< T, π ≤ t < ∞0; 0 ≤ t < 1, y" 18. y² + 4y = {1, 151 < 00: t, 0 ≤ t < 1, 1≤t <2, 2 ≤ t < ∞0; 2010 y(0) = 1, y'(0) = 0 y(0) = 0, y'(0) = 0 y(0) = 0, y'(0) = 0
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